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Author:   K. Cieliebak ,  Y. Eliashberg ,  N. Mishachev
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Edition:   2nd Revised edition
Volume:   239.S
Weight:   0.272kg
ISBN:  

9781470476175

ISBN 10:   1470476177
Pages:   363
Publication Date:   29 February 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Intrigue Holonomic approximation: Jets and holonomy Thom transversality theorem Holonomic approximation Applications Multivalued holonomic approximation Differential relations and Gromov's $h$-principle: Differential relations Homotopy principle Open Diff $V$-invariant differential relations Applications to closed manifolds Foliations Singularities and wrinkling: Singularities of smooth maps Wrinkles Wrinkles submersions Folded solutions to differential relations The $h$-principle for sharp wrinkled embeddings Igusa functions 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 to microflexibility Microflexible $\mathfrak{A}$-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.

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K. Cieliebak, University of Augsburg, Germany. Y. Eliashberg, Stanford University, CA. N. Mishachev, Lipetsk Technical University, Russia

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