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＜E-Book＞
Cartan for beginners : differential geometry via moving frames and exterior differential systems / Thomas A. Ivey, Joseph M. Landsberg
(Graduate Studies in Mathematics ; v. 175)

Edition	Second edition.
Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2016]
Size	1 online resource (pages cm.)
Authors	*Ivey, Thomas A 1963- Landsberg, J. M
Subjects	LCSH:Geometry, Differential LCSH:Exterior differential systems FREE:Partial differential equations -- Overdetermined systems -- Overdetermined systems with variable coefficients  All Subject Search FREE:Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Lie-Bäcklund and other transformations  All Subject Search FREE:Differential geometry -- Classical differential geometry -- Surfaces in Euclidean space  All Subject Search FREE:Differential geometry -- Classical differential geometry -- Projective differential geometry  All Subject Search FREE:Differential geometry -- Classical differential geometry -- Conformal differential geometry  All Subject Search FREE:Differential geometry -- Classical differential geometry -- Differential invariants (local theory), geometric objects  All Subject Search FREE:Differential geometry -- Global differential geometry -- $G$-structures  All Subject Search FREE:Differential geometry -- Global differential geometry -- General geometric structures on manifolds (almost complex, almost product structures, etc.)  All Subject Search
Contents	Chapter 1. Moving frames and exterior differential systems Chapter 2. Euclidean geometry Chapter 3. Riemannian geometry Chapter 4. Projective geometry I: Basic definitions and examples Chapter 5. Cartan-K�ahler I: Linear algebra and constant-coefficient homogeneous systems Chapter 6. Cartan-K�ahler II: The Cartan algorithm for linear Pfaffian systems Chapter 7. Applications to PDE Chapter 8. Cartan-K�ahler III: The general case Chapter 9. Geometric structures and connections Chapter 10. Superposition for Darboux-integrable systems Chapter 11. Conformal differential geometry Chapter 12. Projective geometry II: Moving frames and subvarieties of projective space Appendix A. Linear algebra and representation theory Appendix B. Differential forms Appendix C. Complex structures and complex manifolds Appendix D. Initial value problems and the Cauchy-Kowalevski theorem
Notes	Includes bibliographical references and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2016 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/175 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/175 Information=Contents

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