H-principle for contact foliations

R. Casals; Á. Del Pino; F. Presas

doi:10.1093/imrn/rnu275

H-principle for contact foliations

R. Casals
, Á. Del Pino
, F. Presas

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

In this article, we introduce the topological study of codimension-1 foliations which admit contact structures on the leaves. A parametric existence h-principle for foliated contact structures is provided for any cooriented foliation in a closed oriented four-fold.

Original language	English
Pages (from-to)	10176–10207
Journal	International Mathematics Research Notices
Volume	2015
Issue number	20
DOIs	https://doi.org/10.1093/imrn/rnu275
Publication status	Published - 2015
Externally published	Yes

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Final Manuscript - h-Principle for contact foliationsAccepted author manuscript, 1.02 MB

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title = "H-principle for contact foliations",

abstract = "In this article, we introduce the topological study of codimension-1 foliations which admit contact structures on the leaves. A parametric existence h-principle for foliated contact structures is provided for any cooriented foliation in a closed oriented four-fold.",

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doi = "10.1093/imrn/rnu275",

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AB - In this article, we introduce the topological study of codimension-1 foliations which admit contact structures on the leaves. A parametric existence h-principle for foliated contact structures is provided for any cooriented foliation in a closed oriented four-fold.

UR - https://www.scopus.com/pages/publications/84948407444

U2 - 10.1093/imrn/rnu275

DO - 10.1093/imrn/rnu275

M3 - Article

SN - 1073-7928

VL - 2015

SP - 10176

EP - 10207

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

IS - 20

ER -

H-principle for contact foliations

Abstract

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