Topology and closed characteristics of \(K\)-contact manifolds
type: Item
instance of: scholarly article
title: Topology and closed characteristics of \(K\)-contact manifolds
zbMATH Open document ID: 0842.58001
author: Philippe Rukimbira
published in: Bulletin of the Belgian Mathematical Society - Simon Stevin
publication date: 1996-08-12T00:00:00Z
full work available at URL: https://eudml.org/doc/229879
review text: It is proved that the characteristic flow of a \(K\)-contact form has at least \(n + 1\) closed leaves on a \(2n + 1\)-dimensional manifold. The proof is obtained by applying the Ljusternik-Schnirelmann critical point theory to a suitable function. Moreover, by using Morse theory, it is proved that the first Betti number of a closed Sasakian manifold with finitely many closed characteristics is 0.
Mathematics Subject Classification ID: 58A10
Mathematics Subject Classification ID: 58E05
Mathematics Subject Classification ID: 37C85
zbMATH DE Number: 817251
zbMATH Keywords: characteristic flow
zbMATH Keywords: \(K\)-contact form
zbMATH Keywords: closed leaves
zbMATH Keywords: Ljusternik-Schnirelmann critical point theory
zbMATH Keywords: Morse theory
zbMATH Keywords: Sasakian manifold
reviewed by: Antonio Masiello
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 817251