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VOL. 72 | 2017 Godbillon–Vey invariants for maximal isotropic $C^{2}$ foliations
Patrick Foulon, Boris Hasselblatt

Editor(s) Taro Asuke, Shigenori Matsumoto, Yoshihiko Mitsumatsu

Abstract

For a contact manifold $(M^{2m+1}, A)$ and an $m+1$-dimensional $dA$-isotropic $C^{2}$ foliation, we define Godbillon–Vey invariants $\{\mathit{GV}_{i}\}_{i = 0}^{m+1}$ inspired by the Godbillon–Vey invariant of a codimension-one foliation, and we demonstrate the potential of this family as a tool in geometric rigidity theory. One ingredient for the latter is the Mitsumatsu formula for geodesic flows on (Finsler) surfaces.

Information

Published: 1 January 2017
First available in Project Euclid: 4 October 2018

zbMATH: 1386.53096
MathSciNet: MR3726718

Digital Object Identifier: 10.2969/aspm/07210349

Subjects:
Primary: 57D30
Secondary: 37D20, 53D10, 57R30

Rights: Copyright © 2017 Mathematical Society of Japan

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