Introduction to the h-principle

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

資料種別:

図書

出版情報:

Providence, R.I. : American Mathematical Society, c2002

形態:

xvii, 206 p. ; 26 cm

シリーズ名:

Graduate studies in mathematics ; v. 48 <BA20542214>

著者名:

ISBN:

9780821832271 [0821832271]

書誌ID:

BA57343565

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Bibliography: p. 199-202
Includes index

主題:

Differentiable manifolds; Differential equations--Numerical solutions; Geometry, Differential

言語:

英語

目次情報:

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

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

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