Cartan for beginners : differential geometry via moving frames and exterior differential systems / Thomas A. Ivey, Joseph M. Landsberg.

Format:

Book

Author/Creator:

Ivey, Thomas A. (Thomas Andrew), 1963-

Contributor:

Landsberg, J. M.

Series:

Graduate studies in mathematics ; v. 175.

Graduate Studies in Mathematics ; v. 175

Language:

English

Subjects (All):

Geometry, Differential.

Exterior differential systems.

Physical Description:

1 online resource (pages cm.)

Edition:

Second edition.

Other Title:

Graduate Studies in Mathematics.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2016]

System Details:

Mode of access : World Wide Web

text file

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-Kähler I: Linear algebra and constant-coefficient homogeneous systems Chapter 6. Cartan-Kähler II: The Cartan algorithm for linear Pfaffian systems Chapter 7. Applications to PDE Chapter 8. Cartan-Kähler 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.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2016

Description based on print version record.

Other Format:

Print version: Ivey, Thomas A. 1963- Cartan for beginners :

ISBN:

9781470435912

Access Restriction:

Restricted for use by site license.