Elliptic almost paracontact metric hypersurfaces in \(T(V_ n)\)
type: Item
instance of: scholarly article
title: Elliptic almost paracontact metric hypersurfaces in \(T(V_ n)\)
zbMATH Open document ID: 0637.53048
DOI: 10.1007/BF00972015
author: A. L. Baškienė
published in: Lithuanian Mathematical Journal
publication date: 1987-01-01T00:00:00Z
review text: Consider Dombrowski's almost complex structure \(J\) and a pseudo-Riemannian metric of zero signature, compatible with \(J\), on the tangent bundle \(T(V_ n)\) of an \(n\)-dimensional Riemannian space \(V_ n\). The author induces elliptic almost contact metric structures on some very special hypersurfaces in \(T(V_ n)\). Next, when \(n=2\) she characterizes, among others, the integrability and the normality of the structures.
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53B25
zbMATH DE Number: 4038689
zbMATH Keywords: hypersurface of the tangent bundle
zbMATH Keywords: almost complex structure
zbMATH Keywords: almost contact metric structures
zbMATH Keywords: integrability
reviewed by: Zbigniew Olszak
MaRDI profile type: Publication
cites work: Some global properties of contact structures
cites work: Q3903665
cites work: On differentiable manifolds with certain structures which are closely related to almost contact structure. II
cites work: Almost contact structures induced on hypersurfaces in complex and almost complex spaces
cites work: Q4113063
cites work: Q4137739
cites work: Hypersurfaces in an almost paracontact manifold
cites work: Almost contact hyperbolic-(f, g, η, ξ) structure
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description: scientific article; zbMATH DE number 4038689