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Introduction to the h-principle

Author: Y Eliashberg; N Mishachev
Publisher: Providence, R.I. : American Mathematical Society, ©2002.
Series: Graduate studies in mathematics, v. 48.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Covers two main methods for proving the $h$-principle: holonomic approximation and convex integration. This book places emphasis on applications to symplectic and contact geometry. It is suitable for  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Y Eliashberg; N Mishachev
ISBN: 0821832271 9780821832271
OCLC Number: 49312496
Description: xvii, 206 pages : illustrations ; 26 cm.
Contents: pt. 1. Holonomic Approximation --
Ch. 1. Jets and Holonomy --
Ch. 2. Thom Transversality Theorem --
Ch. 3. Holonomic Approximation --
Ch. 4. Applications --
pt. 2. Differential Relations and Gromov's h-Principle --
Ch. 5. Differential Relations --
Ch. 6. Homotopy Principle --
Ch. 7. Open Diff V-Invariant Differential Relations --
Ch. 8. Applications to Closed Manifolds --
pt. 3. The Homotopy Principle in Symplectic Geometry --
Ch. 9. Symplectic and Contact Basics --
Ch. 10. Symplectic and Contact Structures on Open Manifolds --
Ch. 11. Symplectic and Contact Structures on Closed Manifolds --
Ch. 12. Embeddings into Symplectic and Contact Manifolds --
Ch. 13. Microflexibility and Holonomic R-Approximation --
Ch. 14. First Applications of Microflexibility --
Ch. 15. Microflexible [actual symbol not reproducible]-Invariant Differential Relations --
Ch. 16. Further Applications to Symplectic Geometry --
pt. 4. Convex Integration --
Ch. 17. One-Dimensional Convex Integration --
Ch. 18. Homotopy Principle for Ample Differential Relations --
Ch. 19. Directed Immersions and Embeddings --
Ch. 20. First Order Linear Differential Operators --
Ch. 21. Nash-Kuiper Theorem.
Series Title: Graduate studies in mathematics, v. 48.
Responsibility: Y. Eliashberg, N. Mishachev.

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