Criticality of K-contact vector fields
type: Item
instance of: scholarly article
title: Criticality of K-contact vector fields
zbMATH Open document ID: 1007.53048
DOI: 10.1016/S0393-0440(01)00035-3
author: Philippe Rukimbira
published in: Journal of Geometry and Physics
publication date: 2002-06-23T00:00:00Z
review text: The first two sections of the present paper are preliminaries on minimal submanifold theory and contact geometry. Then the author proves that the characteristic vector field of a contact metric structure determines a contact invariant embedding into the tangent unit sphere bundle if and only if the contact form is K-contact. The minimality and harmonicity of the K-contact vector fields follow from this result.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 1758067
zbMATH Keywords: minimal unit vector field
zbMATH Keywords: K-contact form
zbMATH Keywords: Sasaki metric
zbMATH Keywords: Harmonic section
reviewed by: V. S. Kalnitsky
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1758067