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Hardy spaces and potential theory on C[superscript 1] domains in Riemannian manifolds / / Martin Dindoš
| Hardy spaces and potential theory on C[superscript 1] domains in Riemannian manifolds / / Martin Dindoš |
| Autore | Dindoš Martin |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (92 p.) |
| Disciplina | 515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hardy spaces
Riemannian manifolds Potential theory (Mathematics) |
| ISBN | 1-4704-0500-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 0. Introduction""; ""Chapter 1. Background and Definitions""; ""Â1.1. Notation, terminology and known results""; ""Â1.2. Hardy spaces and layer potentials""; ""Chapter 2. The Boundary Layer Potentials""; ""Â2.1. Compactness of operators K, K*""; ""Â2.2. Invertibility of ±1/2+ K, ±1/2 + K*""; ""Chapter 3. The Dirichlet problem""; ""Â3.1. L[sup(p)] boundary data""; ""Â3.2. Hardy space boundary data""; ""Â3.3. Holder space boundary data""; ""Chapter 4. The Neumann problem""; ""Â4.1. L[sup(p)] boundary data""; ""Â4.2. Hardy space boundary data""
""Â6.3. The main step""""Â6.4. The equivalence theorem on C[sup(1)] domains""; ""Â6.5. The equivalence theorem on Lipschitz domains""; ""Appendix A. Variable Coefficient Cauchy Integrals""; ""Appendix B. One Result on the Maximal Operator""; ""Bibliography"" |
| Altri titoli varianti | Hardy spaces and potential theory on C1 domains in Riemannian manifolds |
| Record Nr. | UNINA-9910788850903321 |
Dindoš Martin
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Hardy spaces and potential theory on C[superscript 1] domains in Riemannian manifolds / / Martin Dindoš
| Hardy spaces and potential theory on C[superscript 1] domains in Riemannian manifolds / / Martin Dindoš |
| Autore | Dindoš Martin |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [2008] |
| Descrizione fisica | 1 online resource (92 p.) |
| Disciplina | 515/.2433 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Hardy spaces
Riemannian manifolds Potential theory (Mathematics) |
| ISBN | 1-4704-0500-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""Contents""; ""Abstract""; ""Chapter 0. Introduction""; ""Chapter 1. Background and Definitions""; ""Â1.1. Notation, terminology and known results""; ""Â1.2. Hardy spaces and layer potentials""; ""Chapter 2. The Boundary Layer Potentials""; ""Â2.1. Compactness of operators K, K*""; ""Â2.2. Invertibility of ±1/2+ K, ±1/2 + K*""; ""Chapter 3. The Dirichlet problem""; ""Â3.1. L[sup(p)] boundary data""; ""Â3.2. Hardy space boundary data""; ""Â3.3. Holder space boundary data""; ""Chapter 4. The Neumann problem""; ""Â4.1. L[sup(p)] boundary data""; ""Â4.2. Hardy space boundary data""
""Â6.3. The main step""""Â6.4. The equivalence theorem on C[sup(1)] domains""; ""Â6.5. The equivalence theorem on Lipschitz domains""; ""Appendix A. Variable Coefficient Cauchy Integrals""; ""Appendix B. One Result on the Maximal Operator""; ""Bibliography"" |
| Altri titoli varianti | Hardy spaces and potential theory on C1 domains in Riemannian manifolds |
| Record Nr. | UNINA-9910812438403321 |
|
Dindoš Martin
|
||
| Providence, Rhode Island : , : American Mathematical Society, , [2008] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harmonic maps between Riemannian polyhedra / J. Eells, B. Fuglede ; with a preface by M. Gromov
| Harmonic maps between Riemannian polyhedra / J. Eells, B. Fuglede ; with a preface by M. Gromov |
| Autore | Eells, James |
| Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 2001 |
| Descrizione fisica | xii, 296 p. ; 24 cm. |
| Disciplina | 514.74 |
| Altri autori (Persone) |
Fuglede, Bentauthor
Gromov, Mikhael |
| Collana | Cambridge tracts in mathematics ; 142 |
| Soggetto topico |
Harmonic maps
Riemannian manifolds |
| ISBN | 0521773113 |
| Classificazione |
AMS 53C
AMS 58E AMS 58E20 LC QA614.73.E353 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991003684549707536 |
|
Eells, James
|
||
| Cambridge ; New York : Cambridge University Press, 2001 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Harmonic maps, conservation laws, and moving frames / / Frédéric Hélein [[electronic resource]]
| Harmonic maps, conservation laws, and moving frames / / Frédéric Hélein [[electronic resource]] |
| Autore | Hélein Frédéric <1963-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xxv, 264 pages) : digital, PDF file(s) |
| Disciplina | 514/.74 |
| Collana | Cambridge tracts in mathematics |
| Soggetto topico |
Harmonic maps
Riemannian manifolds |
| ISBN |
1-107-12533-2
0-511-15755-X 0-511-17666-X 0-511-54303-4 0-511-04519-0 1-280-43643-3 9786610436439 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; 1 Geometric and analytic setting ; 1 -- ; 1.1 The Laplacian on (M, g) ; 2 -- ; 1.2 Harmonic maps between two Riemannian manifolds ; 5 -- ; 1.3 Conservation laws for harmonic maps ; 11 -- ; 1.3.1 Symmetries on N ; 12 -- ; 1.3.2 Symmetries on M: the stress-energy tensor ; 18 -- ; 1.3.3 Consequences of theorem 1.3.6 ; 24 -- ; 1.4 Variational approach: Sobolev spaces ; 31 -- ; 1.4.1 Weakly harmonic maps ; 37 -- ; 1.4.2 Weakly Noether harmonic maps ; 42 -- ; 1.4.3 Minimizing maps ; 42 -- ; 1.4.4 Weakly stationary maps ; 43 -- ; 1.4.5 Relation between these different definitions ; 43 -- ; 1.5 Regularity of weak solutions ; 46 -- ; 2 Harmonic maps with symmetry ; 49 -- ; 2.1 Backlund transformation ; 50 -- ; 2.1.1 S[superscript 2]-valued maps ; 50 -- ; 2.1.2 Maps taking values in a sphere S[superscript n], n [greater than or equal] 2 ; 54 -- ; 2.1.3 Comparison ; 56 -- ; 2.2 Harmonic maps with values into Lie groups ; 58 -- ; 2.2.1 Families of curvature-free connections ; 65 -- ; 2.2.2 The dressing ; 72 -- ; 2.2.3 Uhlenbeck factorization for maps with values in U(n) ; 77 -- ; 2.2.4 S[superscript 1]-action ; 79 -- ; 2.3 Harmonic maps with values into homogeneous spaces ; 82 -- ; 2.4 Synthesis: relation between the different formulations ; 95 -- ; 2.5 Compactness of weak solutions in the weak topology ; 101 -- ; 2.6 Regularity of weak solutions ; 109 -- ; 3 Compensations and exotic function spaces ; 114 -- ; 3.1 Wente's inequality ; 115 -- ; 3.1.1 The inequality on a plane domain ; 115 -- ; 3.1.2 The inequality on a Riemann surface ; 119 -- ; 3.2 Hardy spaces ; 128 -- ; 3.3 Lorentz spaces ; 135 -- ; 3.4 Back to Wente's inequality ; 145 -- ; 3.5 Weakly stationary maps with values into a sphere ; 150 -- ; 4 Harmonic maps without symmetry ; 165 -- ; 4.1 Regularity of weakly harmonic maps of surfaces ; 166 -- ; 4.2 Generalizations in dimension 2 ; 187 -- ; 4.3 Regularity results in arbitrary dimension ; 193 -- ; 4.4 Conservation laws for harmonic maps without symmetry ; 205 -- ; 4.4.1 Conservation laws ; 206 -- ; 4.4.2 Isometric embedding of vector-bundle-valued differential forms ; 211 -- ; 4.4.3 A variational formulation for the case m = n = 2 and p = 1 ; 215 -- ; 4.4.4 Hidden symmetries for harmonic maps on surfaces? ; 218 -- ; 5 Surfaces with mean curvature in L[superscript 2] ; 221 -- ; 5.1 Local results ; 224 -- ; 5.2 Global results ; 237 -- ; 5.3 Willmore surfaces ; 242 -- ; 5.4 Epilogue: Coulomb frames and conformal coordinates ; 244. |
| Altri titoli varianti | Harmonic Maps, Conservation Laws & Moving Frames |
| Record Nr. | UNINA-9910455873203321 |
|
Hélein Frédéric <1963->
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harmonic maps, conservation laws, and moving frames / / Frédéric Hélein [[electronic resource]]
| Harmonic maps, conservation laws, and moving frames / / Frédéric Hélein [[electronic resource]] |
| Autore | Hélein Frédéric <1963-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xxv, 264 pages) : digital, PDF file(s) |
| Disciplina | 514/.74 |
| Collana | Cambridge tracts in mathematics |
| Soggetto topico |
Harmonic maps
Riemannian manifolds |
| ISBN |
1-107-12533-2
0-511-15755-X 0-511-17666-X 0-511-54303-4 0-511-04519-0 1-280-43643-3 9786610436439 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; 1 Geometric and analytic setting ; 1 -- ; 1.1 The Laplacian on (M, g) ; 2 -- ; 1.2 Harmonic maps between two Riemannian manifolds ; 5 -- ; 1.3 Conservation laws for harmonic maps ; 11 -- ; 1.3.1 Symmetries on N ; 12 -- ; 1.3.2 Symmetries on M: the stress-energy tensor ; 18 -- ; 1.3.3 Consequences of theorem 1.3.6 ; 24 -- ; 1.4 Variational approach: Sobolev spaces ; 31 -- ; 1.4.1 Weakly harmonic maps ; 37 -- ; 1.4.2 Weakly Noether harmonic maps ; 42 -- ; 1.4.3 Minimizing maps ; 42 -- ; 1.4.4 Weakly stationary maps ; 43 -- ; 1.4.5 Relation between these different definitions ; 43 -- ; 1.5 Regularity of weak solutions ; 46 -- ; 2 Harmonic maps with symmetry ; 49 -- ; 2.1 Backlund transformation ; 50 -- ; 2.1.1 S[superscript 2]-valued maps ; 50 -- ; 2.1.2 Maps taking values in a sphere S[superscript n], n [greater than or equal] 2 ; 54 -- ; 2.1.3 Comparison ; 56 -- ; 2.2 Harmonic maps with values into Lie groups ; 58 -- ; 2.2.1 Families of curvature-free connections ; 65 -- ; 2.2.2 The dressing ; 72 -- ; 2.2.3 Uhlenbeck factorization for maps with values in U(n) ; 77 -- ; 2.2.4 S[superscript 1]-action ; 79 -- ; 2.3 Harmonic maps with values into homogeneous spaces ; 82 -- ; 2.4 Synthesis: relation between the different formulations ; 95 -- ; 2.5 Compactness of weak solutions in the weak topology ; 101 -- ; 2.6 Regularity of weak solutions ; 109 -- ; 3 Compensations and exotic function spaces ; 114 -- ; 3.1 Wente's inequality ; 115 -- ; 3.1.1 The inequality on a plane domain ; 115 -- ; 3.1.2 The inequality on a Riemann surface ; 119 -- ; 3.2 Hardy spaces ; 128 -- ; 3.3 Lorentz spaces ; 135 -- ; 3.4 Back to Wente's inequality ; 145 -- ; 3.5 Weakly stationary maps with values into a sphere ; 150 -- ; 4 Harmonic maps without symmetry ; 165 -- ; 4.1 Regularity of weakly harmonic maps of surfaces ; 166 -- ; 4.2 Generalizations in dimension 2 ; 187 -- ; 4.3 Regularity results in arbitrary dimension ; 193 -- ; 4.4 Conservation laws for harmonic maps without symmetry ; 205 -- ; 4.4.1 Conservation laws ; 206 -- ; 4.4.2 Isometric embedding of vector-bundle-valued differential forms ; 211 -- ; 4.4.3 A variational formulation for the case m = n = 2 and p = 1 ; 215 -- ; 4.4.4 Hidden symmetries for harmonic maps on surfaces? ; 218 -- ; 5 Surfaces with mean curvature in L[superscript 2] ; 221 -- ; 5.1 Local results ; 224 -- ; 5.2 Global results ; 237 -- ; 5.3 Willmore surfaces ; 242 -- ; 5.4 Epilogue: Coulomb frames and conformal coordinates ; 244. |
| Altri titoli varianti | Harmonic Maps, Conservation Laws & Moving Frames |
| Record Nr. | UNINA-9910780378903321 |
|
Hélein Frédéric <1963->
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harmonic maps, conservation laws, and moving frames / / Frédéric Hélein [[electronic resource]]
| Harmonic maps, conservation laws, and moving frames / / Frédéric Hélein [[electronic resource]] |
| Autore | Hélein Frédéric <1963-> |
| Edizione | [Second edition.] |
| Pubbl/distr/stampa | Cambridge : , : Cambridge University Press, , 2002 |
| Descrizione fisica | 1 online resource (xxv, 264 pages) : digital, PDF file(s) |
| Disciplina | 514/.74 |
| Collana | Cambridge tracts in mathematics |
| Soggetto topico |
Harmonic maps
Riemannian manifolds |
| ISBN |
1-107-12533-2
0-511-15755-X 0-511-17666-X 0-511-54303-4 0-511-04519-0 1-280-43643-3 9786610436439 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | ; 1 Geometric and analytic setting ; 1 -- ; 1.1 The Laplacian on (M, g) ; 2 -- ; 1.2 Harmonic maps between two Riemannian manifolds ; 5 -- ; 1.3 Conservation laws for harmonic maps ; 11 -- ; 1.3.1 Symmetries on N ; 12 -- ; 1.3.2 Symmetries on M: the stress-energy tensor ; 18 -- ; 1.3.3 Consequences of theorem 1.3.6 ; 24 -- ; 1.4 Variational approach: Sobolev spaces ; 31 -- ; 1.4.1 Weakly harmonic maps ; 37 -- ; 1.4.2 Weakly Noether harmonic maps ; 42 -- ; 1.4.3 Minimizing maps ; 42 -- ; 1.4.4 Weakly stationary maps ; 43 -- ; 1.4.5 Relation between these different definitions ; 43 -- ; 1.5 Regularity of weak solutions ; 46 -- ; 2 Harmonic maps with symmetry ; 49 -- ; 2.1 Backlund transformation ; 50 -- ; 2.1.1 S[superscript 2]-valued maps ; 50 -- ; 2.1.2 Maps taking values in a sphere S[superscript n], n [greater than or equal] 2 ; 54 -- ; 2.1.3 Comparison ; 56 -- ; 2.2 Harmonic maps with values into Lie groups ; 58 -- ; 2.2.1 Families of curvature-free connections ; 65 -- ; 2.2.2 The dressing ; 72 -- ; 2.2.3 Uhlenbeck factorization for maps with values in U(n) ; 77 -- ; 2.2.4 S[superscript 1]-action ; 79 -- ; 2.3 Harmonic maps with values into homogeneous spaces ; 82 -- ; 2.4 Synthesis: relation between the different formulations ; 95 -- ; 2.5 Compactness of weak solutions in the weak topology ; 101 -- ; 2.6 Regularity of weak solutions ; 109 -- ; 3 Compensations and exotic function spaces ; 114 -- ; 3.1 Wente's inequality ; 115 -- ; 3.1.1 The inequality on a plane domain ; 115 -- ; 3.1.2 The inequality on a Riemann surface ; 119 -- ; 3.2 Hardy spaces ; 128 -- ; 3.3 Lorentz spaces ; 135 -- ; 3.4 Back to Wente's inequality ; 145 -- ; 3.5 Weakly stationary maps with values into a sphere ; 150 -- ; 4 Harmonic maps without symmetry ; 165 -- ; 4.1 Regularity of weakly harmonic maps of surfaces ; 166 -- ; 4.2 Generalizations in dimension 2 ; 187 -- ; 4.3 Regularity results in arbitrary dimension ; 193 -- ; 4.4 Conservation laws for harmonic maps without symmetry ; 205 -- ; 4.4.1 Conservation laws ; 206 -- ; 4.4.2 Isometric embedding of vector-bundle-valued differential forms ; 211 -- ; 4.4.3 A variational formulation for the case m = n = 2 and p = 1 ; 215 -- ; 4.4.4 Hidden symmetries for harmonic maps on surfaces? ; 218 -- ; 5 Surfaces with mean curvature in L[superscript 2] ; 221 -- ; 5.1 Local results ; 224 -- ; 5.2 Global results ; 237 -- ; 5.3 Willmore surfaces ; 242 -- ; 5.4 Epilogue: Coulomb frames and conformal coordinates ; 244. |
| Altri titoli varianti | Harmonic Maps, Conservation Laws & Moving Frames |
| Record Nr. | UNINA-9910814608703321 |
|
Hélein Frédéric <1963->
|
||
| Cambridge : , : Cambridge University Press, , 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Harmonic maps, conservation laws, and moving frames / Frédéric Hélein
| Harmonic maps, conservation laws, and moving frames / Frédéric Hélein |
| Autore | Hélein, Frédéric |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Cambridge ; New York : Cambridge University Press, 2002 |
| Descrizione fisica | xxv, 264 p. ; 24 cm. |
| Disciplina | 514.74 |
| Collana | Cambridge tracts in mathematics ; 150 |
| Soggetto topico |
Harmonic maps
Riemannian manifolds |
| ISBN | 0521811600 |
| Classificazione |
AMS 58E20
LC QA614.73.H45 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991004014739707536 |
|
Hélein, Frédéric
|
||
| Cambridge ; New York : Cambridge University Press, 2002 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Harmonic morphisms between Riemannian manifolds / Paul Baird and John C. Wood
| Harmonic morphisms between Riemannian manifolds / Paul Baird and John C. Wood |
| Autore | Baird, Paul |
| Pubbl/distr/stampa | Oxford ; New York : Clarendon Press, 2003 |
| Descrizione fisica | xvi, 520 p. : ill. ; 24 cm |
| Disciplina | 516.373 |
| Altri autori (Persone) | Wood, John C.author |
| Collana |
London Mathematical Society monographs. New ser., 0076-0560 ; 29
Oxford science publications |
| Soggetto topico |
Riemannian manifolds
Harmonic morphisms |
| ISBN | 0198503628 |
| Classificazione |
AMS 53C43
LC QA169.B32 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001306019707536 |
|
Baird, Paul
|
||
| Oxford ; New York : Clarendon Press, 2003 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Heat kernel and analysis on manifolds / Alexander Grigor'yan
| Heat kernel and analysis on manifolds / Alexander Grigor'yan |
| Autore | Grigoryan, Alexander |
| Pubbl/distr/stampa | Providence, R. I. : American Mathematical Society |
| Descrizione fisica | xvii, 482 p. : ill. ; 27 cm |
| Disciplina | 515.353 |
| Collana | AMS/IP studies in advanced mathematics, 1089-3288 ; 47 |
| Soggetto topico |
Heat equation
Kernel functions Riemannian manifolds Gaussian processes |
| ISBN |
9780821849354
0821849352 |
| Classificazione |
AMS 58J35
AMS 31B05 AMS 35K05 AMS 35P15 AMS 47D07 AMS 53C20 LC QA377.G754 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991001591769707536 |
|
Grigoryan, Alexander
|
||
| Providence, R. I. : American Mathematical Society | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
The Hodge-Laplacian : boundary value problems on Riemannian manifolds / / Dorina Mitrea [and three others]
| The Hodge-Laplacian : boundary value problems on Riemannian manifolds / / Dorina Mitrea [and three others] |
| Autore | Mitrea Dorina |
| Pubbl/distr/stampa | Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 |
| Descrizione fisica | 1 online resource (528 pages) |
| Disciplina | 516.3/73 |
| Collana | De Gruyter Studies in Mathematics |
| Soggetto topico |
Riemannian manifolds
Boundary value problems |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-11-048339-4
3-11-048438-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- 1. Introduction and Statement of Main Results -- 2. Geometric Concepts and Tools -- 3. Harmonic Layer Potentials Associated with the Hodge-de Rham Formalism on UR Domains -- 4. Harmonic Layer Potentials Associated with the Levi-Civita Connection on UR Domains -- 5. Dirichlet and Neumann Boundary Value Problems for the Hodge-Laplacian on Regular SKT Domains -- 6. Fatou Theorems and Integral Representations for the Hodge-Laplacian on Regular SKT Domains -- 7. Solvability of Boundary Problems for the Hodge-Laplacian in the Hodge-de Rham Formalism -- 8. Additional Results and Applications -- 9. Further Tools from Differential Geometry, Harmonic Analysis, Geometric Measure Theory, Functional Analysis, Partial Differential Equations, and Clifford Analysis -- Bibliography -- Index -- Backmatter |
| Record Nr. | UNINA-9910465984603321 |
|
Mitrea Dorina
|
||
| Berlin, [Germany] ; ; Boston, [Massachusetts] : , : De Gruyter, , 2016 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Soggetto topico
-
Riemannian manifolds
(137)
- Curvature (15)
- Geometry, Differential (12)
- Geometry, Riemannian (9)
- Harmonic maps (9)