Introduction to the h-principle / K. Cieliebak, Y. Eliashberg, N. Mishachev.

Format:

Book

Author/Creator:

Cieliebak, Kai, 1966- author.

Eliashberg, Y., 1946- author.

Mishachev, N. (Nikolai M.), 1952- author.

Series:

Graduate Studies in Mathematics, v. 239

Language:

English

Subjects (All):

Geometry, Differential.

Differentiable manifolds.

Differential equations--Numerical solutions.

Differential equations.

Physical Description:

1 online resource

Edition:

Second edition.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2023]

System Details:

Mode of access : World Wide Web

Summary:

"The back-up contains a draft of the title page, copyright page, and manuscript. DO NOT INCLUDE THIS IN THE CIP RECORD"-- Provided by publisher.

Contents:

Intrigue Jets and holonomy Thom transversality theorem Holonomic approximation Applications Multivalued holonomic approximation Differential relations Homotopy principle Open Diff $V$-invariant differential relations Applications to closed manifolds Foliations Singularities of smooth maps Wrinkles Wrinkles submersions Folded solutions to differential relations The $h$-principle for sharp wrinkled embeddings Igusa functions 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 One-dimensional convex integration Homotopy principle for ample differential relations Directed immersions and embeddings First order linear differential operators Nash-Kuiper theorem

Notes:

Includes bibliographical references and index.

Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2024

Description based on print version record.

Other Format:

Print version: Cieliebak, Kai, 1966- Introduction to the h-principle /

ISBN:

9781470476182 (online)

Access Restriction:

Restricted for use by site license.