Invariants of contact structures and transversally oriented foliations

Augustin Banyaga

doi:10.1007/BF00129900

Invariants of contact structures and transversally oriented foliations

Augustin Banyaga

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

4 Scopus citations

Abstract

We exhibit new invariants of the contact structure E(α), the contact flow F_α and the transverse symplectic geometry of a contact manifold (M, α). The invariant of contact structures generalizes to transversally oriented foliations. We focus on the particular cases of orientations of smooth manifolds and transverse orientations of foliations. We define the transverse Calabi invariants and determine their kernels.

Original language	English (US)
Pages (from-to)	427-441
Number of pages	15
Journal	Annals of Global Analysis and Geometry
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/BF00129900
State	Published - Jan 1 1996

All Science Journal Classification (ASJC) codes

Analysis
Political Science and International Relations
Geometry and Topology

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10.1007/BF00129900

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title = "Invariants of contact structures and transversally oriented foliations",

abstract = "We exhibit new invariants of the contact structure E(α), the contact flow Fα and the transverse symplectic geometry of a contact manifold (M, α). The invariant of contact structures generalizes to transversally oriented foliations. We focus on the particular cases of orientations of smooth manifolds and transverse orientations of foliations. We define the transverse Calabi invariants and determine their kernels.",

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AB - We exhibit new invariants of the contact structure E(α), the contact flow Fα and the transverse symplectic geometry of a contact manifold (M, α). The invariant of contact structures generalizes to transversally oriented foliations. We focus on the particular cases of orientations of smooth manifolds and transverse orientations of foliations. We define the transverse Calabi invariants and determine their kernels.

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U2 - 10.1007/BF00129900

DO - 10.1007/BF00129900

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AN - SCOPUS:0011879229

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JO - Annals of Global Analysis and Geometry

JF - Annals of Global Analysis and Geometry

IS - 4

ER -

Invariants of contact structures and transversally oriented foliations

Abstract

All Science Journal Classification (ASJC) codes

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