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The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang
The analysis of harmonic maps and their heat flows [[electronic resource] /] / Fanghua Lin, Changyou Wang
Autore Lin Fanghua
Pubbl/distr/stampa Hackensack, NJ, : World Scientific, c2008
Descrizione fisica 1 online resource (280 p.)
Disciplina 514/.74
Altri autori (Persone) WangChangyou <1967->
Soggetto topico Harmonic maps
Heat equation
Riemannian manifolds
ISBN 1-281-93808-4
9786611938086
981-277-953-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; 3.2 Weakly harmonic maps in dimension two; 3.3 Stationary harmonic maps in higher dimensions; Preface; Organization of the book; Acknowledgements; 1 Introduction to harmonic maps; 1.1 Dirichlet principle of harmonic maps; 1.2 Intrinsic view of harmonic maps; 1.3 Extrinsic view of harmonic maps; 1.4 A few facts about harmonic maps; 1.5 Bochner identity for harmonic maps; 1.6 Second variational formula of harmonic maps; 2 Regularity of minimizing harmonic maps; 2.1 Minimizing harmonic maps in dimension two; 2.2 Minimizing harmonic maps in higher dimensions
2.3 Federer's dimension reduction principle2.4 Boundary regularity for minimizing harmonic maps; 2.5 Uniqueness of minimizing tangent maps; 2.6 Integrability of Jacobi fields and its applications; 3 Regularity of stationary harmonic maps; 3.1 Weakly harmonic maps into regular balls; 3.4 Stable-stationary harmonic maps into spheres; 4 Blow up analysis of stationary harmonic maps; 4.1 Preliminary analysis; 4.2 Rectifiability of defect measures; 4.3 Strong convergence and interior gradient estimates; 4.4 Boundary gradient estimates; 5 Heat ows to Riemannian manifolds of NPC; 5.1 Motivation
5.2 Existence of short time smooth solutions5.3 Existence of global smooth solutions under RN < 0; 5.4 An extension of Eells-Sampson's theorem; 6 Bubbling analysis in dimension two; 6.1 Minimal immersion of spheres; 6.2 Almost smooth heat ows in dimension two; 6.3 Finite time singularity in dimension two; 6.4 Bubbling phenomena for 2-D heat ows; 6.5 Approximate harmonic maps in dimension two; 7 Partially smooth heat ows; 7.1 Monotonicity formula and a priori estimates; 7.2 Global smooth solutions and weak compactness; 7.3 Finite time singularity in dimensions at least three
7.4 Nonuniqueness of heat flow of harmonic maps7.5 Global weak heat flows into spheres; 7.6 Global weak heat flows into general manifolds; 8 Blow up analysis on heat ows; 8.1 Obstruction to strong convergence; 8.2 Basic estimates; 8.3 Stratification of the concentration set; 8.4 Blow up analysis in dimension two; 8.5 Blow up analysis in dimensions n > 3; 9 Dynamics of defect measures in heat flows; 9.1 Generalized varifolds and rectifiability; 9.2 Generalized varifold flows and Brakke's motion; 9.3 Energy quantization of the defect measure; 9.4 Further remarks; Bibliography; Index
Record Nr. UNINA-9910814555403321
Lin Fanghua  
Hackensack, NJ, : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Asymptotic formulae in spectral geometry / Peter B. Gilkey
Asymptotic formulae in spectral geometry / Peter B. Gilkey
Autore Gilkey, Peter B.
Pubbl/distr/stampa Boca Raton : Chapman & Hall/CRC Press, c2004
Descrizione fisica viii, 304 p. ; 25 cm
Disciplina 516.362
Collana Studies in advanced mathematics
Soggetto topico Spectral geometry
Riemannian manifolds
Differential equations - Asymptotic theory
ISBN 1584883588
Classificazione AMS 58J37
LC QA614.95.G55
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000540819707536
Gilkey, Peter B.  
Boca Raton : Chapman & Hall/CRC Press, c2004
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds / / Takashi Shioya
Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds / / Takashi Shioya
Autore Shioya Takashi <1963->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1994
Descrizione fisica 1 online resource (90 p.)
Disciplina 510 s
Collana Memoirs of the American Mathematical Society
Soggetto topico Riemannian manifolds
Geodesics (Mathematics)
Soggetto genere / forma Electronic books.
ISBN 1-4704-0094-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Acknowledgement""; ""Introduction""; ""1. The semi-regular curves in a differentiable plane""; ""2. Statement of main results and examples""; ""3. Some applications of the Gauss-Bonnet theorem""; ""4. Semi-regularity of distant geodesies""; ""5. Almost regularity of distant geodesies""; ""6. The visual diameter""; ""7. Distant geodesies in a finitely connected manifold with finitely connected boundary""; ""References""
Record Nr. UNINA-9910480474503321
Shioya Takashi <1963->  
Providence, Rhode Island : , : American Mathematical Society, , 1994
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds / / Takashi Shioya
Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds / / Takashi Shioya
Autore Shioya Takashi <1963->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1994
Descrizione fisica 1 online resource (90 p.)
Disciplina 510 s
Collana Memoirs of the American Mathematical Society
Soggetto topico Riemannian manifolds
Geodesics (Mathematics)
ISBN 1-4704-0094-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Acknowledgement""; ""Introduction""; ""1. The semi-regular curves in a differentiable plane""; ""2. Statement of main results and examples""; ""3. Some applications of the Gauss-Bonnet theorem""; ""4. Semi-regularity of distant geodesies""; ""5. Almost regularity of distant geodesies""; ""6. The visual diameter""; ""7. Distant geodesies in a finitely connected manifold with finitely connected boundary""; ""References""
Record Nr. UNINA-9910788754003321
Shioya Takashi <1963->  
Providence, Rhode Island : , : American Mathematical Society, , 1994
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds / / Takashi Shioya
Behavior of distant maximal geodesics in finitely connected complete 2-dimensional Riemannian manifolds / / Takashi Shioya
Autore Shioya Takashi <1963->
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , 1994
Descrizione fisica 1 online resource (90 p.)
Disciplina 510 s
Collana Memoirs of the American Mathematical Society
Soggetto topico Riemannian manifolds
Geodesics (Mathematics)
ISBN 1-4704-0094-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto ""Contents""; ""Abstract""; ""Acknowledgement""; ""Introduction""; ""1. The semi-regular curves in a differentiable plane""; ""2. Statement of main results and examples""; ""3. Some applications of the Gauss-Bonnet theorem""; ""4. Semi-regularity of distant geodesies""; ""5. Almost regularity of distant geodesies""; ""6. The visual diameter""; ""7. Distant geodesies in a finitely connected manifold with finitely connected boundary""; ""References""
Record Nr. UNINA-9910811895103321
Shioya Takashi <1963->  
Providence, Rhode Island : , : American Mathematical Society, , 1994
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Calculus and mechanics on two-point homogenous Riemannian spaces / / Alexey V. Shchepetilov
Calculus and mechanics on two-point homogenous Riemannian spaces / / Alexey V. Shchepetilov
Autore Shchepetilov Alexey V.
Edizione [1st ed. 2006.]
Pubbl/distr/stampa Berlin, Germany : , : Springer, , [2006]
Descrizione fisica 1 online resource (265 p.)
Disciplina 516.362
Collana Lecture Notes in Physics
Soggetto topico Riemannian manifolds
Mathematical physics
ISBN 1-280-62742-5
9786610627424
3-540-35386-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Two-Point Homogeneous Riemannian Spaces -- Differential Operators on Smooth Manifolds -- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces -- Hamiltonian Systems with Symmetry and Their Reduction -- Two-Body Hamiltonian on Two-Point Homogeneous Spaces -- Particle in a Central Field on Two-Point Homogeneous Spaces -- Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces -- Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres.
Record Nr. UNISA-996466722903316
Shchepetilov Alexey V.  
Berlin, Germany : , : Springer, , [2006]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Calculus and mechanics on two-point homogenous Riemannian spaces / / Alexey V. Shchepetilov
Calculus and mechanics on two-point homogenous Riemannian spaces / / Alexey V. Shchepetilov
Autore Shchepetilov Alexey V.
Edizione [1st ed. 2006.]
Pubbl/distr/stampa Berlin, Germany : , : Springer, , [2006]
Descrizione fisica 1 online resource (265 p.)
Disciplina 516.362
Collana Lecture Notes in Physics
Soggetto topico Riemannian manifolds
Mathematical physics
ISBN 1-280-62742-5
9786610627424
3-540-35386-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Two-Point Homogeneous Riemannian Spaces -- Differential Operators on Smooth Manifolds -- Algebras of Invariant Differential Operators on Unit Sphere Bundles Over Two-Point Homogeneous Riemannian Spaces -- Hamiltonian Systems with Symmetry and Their Reduction -- Two-Body Hamiltonian on Two-Point Homogeneous Spaces -- Particle in a Central Field on Two-Point Homogeneous Spaces -- Classical Two-Body Problem on Two-Point Homogeneous Riemannian Spaces -- Quasi-Exactly Solvability of the Quantum Mechanical Two-Body Problem on Spheres.
Record Nr. UNINA-9910146627803321
Shchepetilov Alexey V.  
Berlin, Germany : , : Springer, , [2006]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Calculus and mechanics on two-point homogenous Riemannian spaces / Alexey V. Shchepetilov
Calculus and mechanics on two-point homogenous Riemannian spaces / Alexey V. Shchepetilov
Autore Shchepetilov, Alexey V.
Pubbl/distr/stampa Berlin : Springer, 2006
Descrizione fisica xvii, 255 p. : ill. ; 24 cm
Disciplina 516.362
Collana Lecture notes in physics, 0075-8450 ; 707
Soggetto topico Mathematical physics
Riemannian manifolds
ISBN 3540353844
9783540353843
Classificazione AMS 53C80
LC QC20.7.M24S43
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003452699707536
Shchepetilov, Alexey V.  
Berlin : Springer, 2006
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Classification theory of Riemannian manifolds : harmonic, quasiharmonic, and biharmonic functions / Leo Sario... [et al.]
Classification theory of Riemannian manifolds : harmonic, quasiharmonic, and biharmonic functions / Leo Sario... [et al.]
Autore Sario, Leo
Pubbl/distr/stampa Berlin : Springer-Verlag, 1977
Descrizione fisica xx, 498 p. ; 25 cm.
Disciplina 515.53
Collana Lecture notes in mathematics, 0075-8434 ; 605
Soggetto topico Harmonic functions
Higher-dimensional theory
Riemannian manifolds
ISBN 3540083588
Classificazione AMS 31B99
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000746609707536
Sario, Leo  
Berlin : Springer-Verlag, 1977
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui
Classification theory of riemannian manifolds : harmonic, quasiharmonic and biharmonic functions / / Leo Sario [and three others]
Classification theory of riemannian manifolds : harmonic, quasiharmonic and biharmonic functions / / Leo Sario [and three others]
Edizione [1st ed. 1977.]
Pubbl/distr/stampa Berlin, Germany : , : Springer-Verlag, , [1977]
Descrizione fisica 1 online resource (XXII, 502 p.)
Disciplina 516.36
Collana Lecture Notes in Mathematics
Soggetto topico Riemannian manifolds
Harmonic functions
Mathematics
ISBN 3-540-37261-X
Classificazione 31Bxx
31C12
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface and historical note -- Laplace-Beltrami operator -- Harmonic functions -- Quasiharmonic functions -- Bounded biharmonic functions -- Dirichlet finite biharmonic functions -- Bounded dirichlet finite biharmonic functions -- Harmonic, quasiharmonic, and biharmonic degeneracies -- Riesz representation of biharmonic functions -- Biharmonic Green’s function ? -- Biharmonic Green’s function ?: Definition and existence -- Relation of O ? N to other null classes -- Hadamard’s conjecture on the Green’s function of a clamped plate.
Record Nr. UNISA-996466509403316
Berlin, Germany : , : Springer-Verlag, , [1977]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui