Introduction to the H-Principle

Introduction to the H-Principle portes grátis

Introduction to the H-Principle

Cieliebak, K.; Mishachev, N.; Eliashberg, Y.

American Mathematical Society

02/2024

363

Mole

Inglês

9781470476175

15 a 20 dias

Descrição não disponível.
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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