Almost-contact structures on hypersurfaces of the tangent bundle of a Riemannian manifold
type: Item
instance of: scholarly article
title: Almost-contact structures on hypersurfaces of the tangent bundle of a Riemannian manifold
zbMATH Open document ID: 0573.53023
DOI: 10.1007/BF00970396
author: A. L. Baškienė
published in: Lithuanian Mathematical Journal
publication date: 1984-01-01T00:00:00Z
review text: In the tangent bundle \(T(V_ n)\) of an \(n\)-dimensional Riemannian manifold \(V_ n\), a metric \(G\) is introduced by means of that of \(V_ n\). Let \(M_{2n-1}\) be a hypersurface of \(T(V_ n)\), then there arises a \((\phi,\xi,\eta,g)\)-structure of hyperbolic type. It is a little different in sign of the defining equations from the ordinary almost contact metric structure. This paper mainly treats such hyperbolic \((\phi,\xi,\eta,g)\)-structure on \(M_ 3\subset T(V_ 2)\) and on \(M_ 3\subset T(E_ 2)\) where \(E_ 2\) is a Euclidean space.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 3915149
zbMATH Keywords: almost contact structure of hyperbolic type
zbMATH Keywords: Killing vector
zbMATH Keywords: Sasaki structure
zbMATH Keywords: Euclidean space
MaRDI profile type: Publication
Wikidata QID: Q115394691
cites work: Q5634578
cites work: On differentiable manifolds with certain structures which are closely related to almost contact structure. II
cites work: Q4113063
description: scientific article; zbMATH DE number 3915149