Differential Geometry and Lie Groups [[electronic resource] ] : A Computational Perspective / / by Jean Gallier, Jocelyn Quaintance |
Autore | Gallier Jean |
Edizione | [1st ed. 2020.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 |
Descrizione fisica | 1 online resource (XV, 777 p. 33 illus., 32 illus. in color.) |
Disciplina | 516.36 |
Collana | Geometry and Computing |
Soggetto topico |
Differential geometry
Topological groups Lie groups Computer mathematics Differential Geometry Topological Groups, Lie Groups Computational Mathematics and Numerical Analysis |
ISBN | 3-030-46040-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1. The Matrix Exponential; Some Matrix Lie Groups -- 2. Adjoint Representations and the Derivative of exp -- 3. Introduction to Manifolds and Lie Groups -- 4. Groups and Group Actions -- 5. The Lorentz Groups ⊛ -- 6. The Structure of O(p,q) and SO(p, q) -- 7. Manifolds, Tangent Spaces, Cotangent Spaces -- 8. Construction of Manifolds From Gluing Data ⊛ -- 9. Vector Fields, Integral Curves, Flows -- 10. Partitions of Unity, Covering Maps ⊛ -- 11. Basic Analysis: Review of Series and Derivatives -- 12. A Review of Point Set Topology.-13. Riemannian Metrics, Riemannian Manifolds -- 14. Connections on Manifolds -- 15. Geodesics on Riemannian Manifolds -- 16. Curvature in Riemannian Manifolds -- 17. Isometries, Submersions, Killing Vector Fields -- 18. Lie Groups, Lie Algebra, Exponential Map -- 19. The Derivative of exp and Dynkin's Formula ⊛ -- 20. Metrics, Connections, and Curvature of Lie Groups -- 21. The Log-Euclidean Framework -- 22. Manifolds Arising from Group Actions. |
Record Nr. | UNINA-9910483831003321 |
Gallier Jean | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2020 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Differential Geometry and Mathematical Physics [[electronic resource] ] : Part II. Fibre Bundles, Topology and Gauge Fields / / by Gerd Rudolph, Matthias Schmidt |
Autore | Rudolph Gerd |
Edizione | [1st ed. 2017.] |
Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2017 |
Descrizione fisica | 1 online resource (XVI, 830 p. 15 illus., 2 illus. in color.) |
Disciplina | 530.15 |
Collana | Theoretical and Mathematical Physics |
Soggetto topico |
Physics
Differential geometry Mathematical physics Algebraic geometry Algebraic topology Elementary particles (Physics) Quantum field theory Mathematical Methods in Physics Differential Geometry Mathematical Physics Algebraic Geometry Algebraic Topology Elementary Particles, Quantum Field Theory |
ISBN | 94-024-0959-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Fibre bundles and connections -- Linear connections and Riemannian geometry -- Homotopy theory of principal fibre bundles. Classification -- Cohomology theory of fibre bundles. Characteristic classes -- Clifford algebras, spin structures and Dirac operators -- The Yang-Mills equation -- Matter fields and model building -- The gauge orbit space -- Elements of quantum gauge theory -- A Field restriction and field extension -- B The Conformal Group of the 4-sphere -- C Simple Lie algebras. Root diagrams -- D z -function regularization -- E K-theory and index bundles -- F Determinant line bundles -- G Eilenberg-MacLane spaces -- References. Index. |
Record Nr. | UNINA-9910736978703321 |
Rudolph Gerd | ||
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2017 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Differential Geometry and Mathematical Physics [[electronic resource] ] : Part I. Manifolds, Lie Groups and Hamiltonian Systems / / by Gerd Rudolph, Matthias Schmidt |
Autore | Rudolph Gerd |
Edizione | [1st ed. 2013.] |
Pubbl/distr/stampa | Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2013 |
Descrizione fisica | 1 online resource (765 p.) |
Disciplina |
515.7
516.36 |
Collana | Theoretical and Mathematical Physics |
Soggetto topico |
Physics
Global analysis (Mathematics) Manifolds (Mathematics) Mechanics Topological groups Lie groups Differential geometry Mathematical Methods in Physics Global Analysis and Analysis on Manifolds Classical Mechanics Topological Groups, Lie Groups Differential Geometry |
ISBN |
1-283-90982-0
94-007-5345-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Differentiable manifolds -- 2 Vector bundles -- 3 Vector fields -- 4 Differential forms -- 5 Lie groups -- 6 Lie group actions -- 7 Linear symplectic algebra -- 8 Symplectic geometry -- 9 Hamiltonian systems -- 10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory -- References. |
Record Nr. | UNINA-9910736987103321 |
Rudolph Gerd | ||
Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential geometry and symmetric spaces / Sigurdur Helgason |
Autore | Helgason, Sigurdur |
Pubbl/distr/stampa | New York : Academic Press, 1962 |
Descrizione fisica | 486 p. ; 24 cm. |
Disciplina |
516.36
516.37 |
Collana | Pure and applied mathematics. A series of monographs & textbooks [Academic Press], 0079-8169 ; 12 |
Soggetto topico |
Differential geometry
Symmetric spaces |
ISBN | 0123384508 |
Classificazione | AMS 53C35 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000821979707536 |
Helgason, Sigurdur | ||
New York : Academic Press, 1962 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Differential Geometry of Curves and Surfaces [[electronic resource] /] / by Shoshichi Kobayashi |
Autore | Kobayashi Shoshichi |
Edizione | [1st ed. 2019.] |
Pubbl/distr/stampa | Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 |
Descrizione fisica | 1 online resource (XII, 192 p. 1 illus.) |
Disciplina | 516.36 |
Collana | Springer Undergraduate Mathematics Series |
Soggetto topico |
Differential geometry
Mathematical analysis Analysis (Mathematics) Manifolds (Mathematics) Complex manifolds Differential Geometry Analysis Manifolds and Cell Complexes (incl. Diff.Topology) |
ISBN | 981-15-1739-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Plane Curves and Space Curves -- Local Theory of Surfaces in the Space -- Geometry of Surfaces -- The Gauss-Bonnet Theorem -- Minimal Surfaces. . |
Record Nr. | UNINA-9910360852603321 |
Kobayashi Shoshichi | ||
Singapore : , : Springer Singapore : , : Imprint : Springer, , 2019 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Differential Geometry of Curves and Surfaces [[electronic resource] /] / by Kristopher Tapp |
Autore | Tapp Kristopher |
Edizione | [1st ed. 2016.] |
Pubbl/distr/stampa | Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 |
Descrizione fisica | 1 online resource (VIII, 366 p. 186 illus. in color.) |
Disciplina | 516.36 |
Collana | Undergraduate Texts in Mathematics |
Soggetto topico |
Differential geometry
Differential Geometry |
ISBN | 3-319-39799-0 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Introduction -- Curves -- Additional topics in curves -- Surfaces -- The curvature of a surface -- Geodesics -- The Gauss–Bonnet theorem -- Appendix A: The topology of subsets of Rn -- Recommended excursions -- Index. |
Record Nr. | UNINA-9910254087803321 |
Tapp Kristopher | ||
Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential geometry with applications to mechanics and physics / Yves Talpaert |
Autore | Talpaert, Yves |
Pubbl/distr/stampa | New York ; Basel : Marcel Dekker, c2001 |
Descrizione fisica | xiii, 454 p. : ill. ; 26 cm. |
Disciplina | 516.36 |
Collana | Monographs and textbooks in pure and applied mathematics ; 237 |
Soggetto topico | Differential geometry |
ISBN | 0824703855 |
Classificazione |
AMS 53-01
AMS 70H QA641.T215 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000822889707536 |
Talpaert, Yves | ||
New York ; Basel : Marcel Dekker, c2001 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
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Differential geometry, calculus of variations, and their applications / eds. George M. Rassias, Themistocles M. Rassias |
Autore | Rassias, George M. |
Pubbl/distr/stampa | New york : Marcel Dekker, 1985 |
Descrizione fisica | 150 p. ; 24 cm |
Disciplina | 515.64 |
Altri autori (Persone) | Rassias, Themistocles M. |
Collana | Lecture notes in pure and applied mathematics, 0075-8469 ; 100 |
Soggetto topico |
Calculus of variations
Differential geometry |
ISBN | 0824772679 |
Classificazione |
AMS 49-06
AMS 49-XX AMS 53-06 QA641.D4144 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991000822229707536 |
Rassias, George M. | ||
New york : Marcel Dekker, 1985 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Differential Geometry, Group Representations, and Quantization [[electronic resource] /] / edited by Jörg-Dieter Hennig, Wolfgang Lücke, Jiri Tolar |
Edizione | [1st ed. 1991.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 |
Descrizione fisica | 1 online resource (XI, 280 p.) |
Disciplina | 530.1/5636 |
Collana | Lecture Notes in Physics |
Soggetto topico |
Physics
Quantum computers Spintronics Quantum physics Differential geometry Mathematical Methods in Physics Numerical and Computational Physics, Simulation Quantum Information Technology, Spintronics Quantum Physics Differential Geometry |
ISBN | 3-540-46473-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Global differential geometric methods in elasticity and hydrodynamics -- GL(n, ?), tetrads and generalized space-time dynamics -- On boundary conditions for Yang-Mills fields in spatially bounded domains -- Parallel transport of phases -- An alternative approach to the quantization of linear relativistic field equations -- A lattice approximation of the dirac equation -- Some hidden aspects of hidden symmetry -- A baryon standard model for electroweak and strong interactions -- Is the physical vacuum really Lorentz-invariant? -- Quantization, coherent states and diffeomorphism groups -- Borel quantization and the origin of topological effects in quantum mechanics -- Symmetries of quantum group coupling coefficients -- Symmetry groups and spectrum generating groups -- Spectrum and character formulae of so(3, 2) unitary representations -- Quantum theory of single events -- Symmetry, entropy and complexity -- Steps in the philosophy of quantum theory. |
Record Nr. | UNINA-9910257448303321 |
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Differential Geometry, Group Representations, and Quantization [[electronic resource] /] / edited by Jörg-Dieter Hennig, Wolfgang Lücke, Jiri Tolar |
Edizione | [1st ed. 1991.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 |
Descrizione fisica | 1 online resource (XI, 280 p.) |
Disciplina | 530.1/5636 |
Collana | Lecture Notes in Physics |
Soggetto topico |
Physics
Quantum computers Spintronics Quantum physics Differential geometry Mathematical Methods in Physics Numerical and Computational Physics, Simulation Quantum Information Technology, Spintronics Quantum Physics Differential Geometry |
ISBN | 3-540-46473-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Global differential geometric methods in elasticity and hydrodynamics -- GL(n, ?), tetrads and generalized space-time dynamics -- On boundary conditions for Yang-Mills fields in spatially bounded domains -- Parallel transport of phases -- An alternative approach to the quantization of linear relativistic field equations -- A lattice approximation of the dirac equation -- Some hidden aspects of hidden symmetry -- A baryon standard model for electroweak and strong interactions -- Is the physical vacuum really Lorentz-invariant? -- Quantization, coherent states and diffeomorphism groups -- Borel quantization and the origin of topological effects in quantum mechanics -- Symmetries of quantum group coupling coefficients -- Symmetry groups and spectrum generating groups -- Spectrum and character formulae of so(3, 2) unitary representations -- Quantum theory of single events -- Symmetry, entropy and complexity -- Steps in the philosophy of quantum theory. |
Record Nr. | UNISA-996466715503316 |
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 1991 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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