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Introduction to the h-principle

Author: Yakov M Eliashberg; Nikolai M Mishachev
Publisher: Providence (R.I.) : American Mathematical Society, cop. 2002.
Series: Graduate studies in mathematics, 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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Document Type: Book
All Authors / Contributors: Yakov M Eliashberg; Nikolai M Mishachev
ISBN: 0821832271 9780821832271
OCLC Number: 470263837
Notes: Bibliogr. p. 199-202. Index.
Description: XVII-206 p. : ill. ; 26 cm.
Contents: Intrigue Holonomic approximation: Jets and holonomy Thom transversality theorem Holonomic approximation Applications Differential relations and Gromov's $h$-principle: Differential relations Homotopy principle Open Diff $V$-invariant differential relations Applications to closed manifolds The homotopy principle in symplectic geometry: Symplectic and contact basics Symplectic and contact structures on open manifolds Symplectic and contact structures on closed manifolds Embeddings into symplectic and contact manifolds Microflexibility and holonomic $\mathcal{R}$-approximation First applications of microflexibility Microflexible $\mathfrak{U}$-invariant differential relations Further applications to symplectic geometry Convex integration: One-dimensional convex integration Homotopy principle for ample differential relations Directed immersions and embeddings First order linear differential operators Nash-Kuiper theorem Bibliography Index.
Series Title: Graduate studies in mathematics, 48
Responsibility: Y. Eliashberg, N. Mishachev.
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