Transverse projective structures of foliations and infinitesimal derivatives of the Godbillon

Transverse projective structures of foliations and infinitesimal derivatives of the Godbillon–Vey class

Published:2015-04 Issue:04 Volume:26 Page:1540001
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Asuke Taro¹

Affiliation:

1. Graduate School of Mathematical Sciences, University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan

Abstract

We study transverse projective structures of foliations and construct an invariant, which is a homomorphism from a foliated cohomology to the ordinary one. It is shown that the infinitesimal derivatives of the Godbillon–Vey class and the Bott class are determined by the invariant. As a corollary, a rigidity theorem for the Godbillon–Vey class and the Bott class is shown.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X15400017

Reference25 articles.

1. Geometric invariants associated with flat projective structures

2. Residues of the Bott class and an application to the Futaki invariant

3. Infinitesimal derivative of the Bott class and the Schwarzian derivatives

4. Singularities of holomorphic foliations

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