Solvable Lie flows of codimension 3

Kato, Naoki

doi:10.2140/agt.2016.16.2751

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Author Index

To Appear

Other MSP Journals

Solvable Lie flows of codimension $3$

Naoki Kato

Algebraic & Geometric Topology 16 (2016) 2751–2778

DOI: 10.2140/agt.2016.16.2751

Abstract

In Appendix E of Riemannian foliations [Progress in Mathematics 73, Birkhäuser, Boston (1988)], É Ghys proved that any Lie $g$ –flow is homogeneous if $g$ is a nilpotent Lie algebra. In the case where $g$ is solvable, we expect any Lie $g$ –flow to be homogeneous. In this paper, we study this problem in the case where $g$ is a $3$ –dimensional solvable Lie algebra.

Keywords

foliations, Lie foliations, homogeneous spaces, solvable Lie algebras, solvable Lie groups

Mathematical Subject Classification 2010

Primary: 57R30

Secondary: 53C12, 22E25

References

Publication

Received: 11 February 2015

Revised: 13 November 2015

Accepted: 11 April 2016

Published: 7 November 2016

Authors

Naoki Kato
Graduate School of Mathematical Sciences University of Tokyo 3-8-1 Komaba Meguro-ku, Tokyo 153-9814 Japan

Volume 16, issue 5 (2016)