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Cartan for beginners : = differentia...

Ivey, Thomas A. (1963-)

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Cartan for beginners : = differential geometry via moving frames and exterior differential systems /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Cartan for beginners :/ Thomas A. Ivey, Joseph M. Landsberg.
其他題名:	differential geometry via moving frames and exterior differential systems /
作者:	Ivey, Thomas A.
其他作者:	Landsberg, J. M.
面頁冊數:	1 online resource (pages cm.)
標題:	Geometry, Differential. -
電子資源:	http://www.ams.org/gsm/175
電子資源:	https://doi.org/10.1090/gsm/175
ISBN:	9781470435912 (online)

Cartan for beginners : = differential geometry via moving frames and exterior differential systems /
Ivey, Thomas A.1963-

Cartan for beginners :differential geometry via moving frames and exterior differential systems /[electronic resource] Thomas A. Ivey, Joseph M. Landsberg. - Second edition. - 1 online resource (pages cm.) - Graduate Studies in Mathematics, v. 175.

Includes bibliographical references and index.

Chapter 1. Moving frames and exterior differential systems

Access is restricted to licensed institutions

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

Mode of access : World Wide Web

ISBN: 9781470435912 (online)Subjects--Topical Terms:

523835
Geometry, Differential.

LC Class. No.: QA641 / .I89 2016

Dewey Class. No.: 516.3/6

Cartan for beginners : = differential geometry via moving frames and exterior differential systems /
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490 0 $a Graduate Studies in Mathematics, $v v. 175
504 $a Includes bibliographical references and index.
505 0 0 $t Chapter 1. Moving frames and exterior differential systems $t Chapter 2. Euclidean geometry $t Chapter 3. Riemannian geometry $t Chapter 4. Projective geometry I: Basic definitions and examples $t Chapter 5. Cartan-K{uml}ahler I: Linear algebra and constant-coefficient homogeneous systems $t Chapter 6. Cartan-K{uml}ahler II: The Cartan algorithm for linear Pfaffian systems $t Chapter 7. Applications to PDE $t Chapter 8. Cartan-K{uml}ahler III: The general case $t Chapter 9. Geometric structures and connections $t Chapter 10. Superposition for Darboux-integrable systems $t Chapter 11. Conformal differential geometry $t Chapter 12. Projective geometry II: Moving frames and subvarieties of projective space $t Appendix A. Linear algebra and representation theory $t Appendix B. Differential forms $t Appendix C. Complex structures and complex manifolds $t Appendix D. Initial value problems and the Cauchy-Kowalevski theorem
506 1 $a Access is restricted to licensed institutions
533 $a Electronic reproduction. $b Providence, Rhode Island : $c American Mathematical Society. $d 2016
538 $a Mode of access : World Wide Web
588 $a Description based on print version record.
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650 0 $a Exterior differential systems. $3 708500
650 7 $a Partial differential equations -- Overdetermined systems -- Overdetermined systems with variable coefficients. $2 msc $3 3775617
650 7 $a Dynamical systems and ergodic theory -- Infinite-dimensional Hamiltonian systems -- Lie-BÃ¤cklund and other transformations. $2 msc $3 3775618
650 7 $a Differential geometry -- Classical differential geometry -- Surfaces in Euclidean space. $2 msc $3 3775619
650 7 $a Differential geometry -- Classical differential geometry -- Projective differential geometry. $2 msc $3 3775620
650 7 $a Differential geometry -- Classical differential geometry -- Conformal differential geometry. $2 msc $3 3775621
650 7 $a Differential geometry -- Classical differential geometry -- Differential invariants (local theory), geometric objects. $2 msc $3 3775622
650 7 $a Differential geometry -- Global differential geometry -- $G$-structures. $2 msc $3 3775623
650 7 $a Differential geometry -- Global differential geometry -- General geometric structures on manifolds (almost complex, almost product structures, etc.). $2 msc $3 3775624
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856 4 $3 Contents $u http://www.ams.org/gsm/175
856 4 $3 Contents $u https://doi.org/10.1090/gsm/175