The Kenmotsu hypersurfaces axiom for 6-dimensional Hermitian submanifolds of the Cayley algebra
type: Item
instance of: scholarly article
title: The Kenmotsu hypersurfaces axiom for 6-dimensional Hermitian submanifolds of the Cayley algebra
zbMATH Open document ID: 1316.53059
DOI: 10.1134/S0037446614020037
published in: Siberian Mathematical Journal
publication date: 2014-12-17T00:00:00Z
review text: The author continues the investigations of 6-dimensional Hermitian submanifolds of the Cayley algebra from previous papers. Here, it is proved that if such a submanifold satisfies the Kenmotsu hypersurface axiom (that is, a Kenmotsu hypersurface passes through any point of the submanifold), then it is locally symmetric and of Ricci type.
reviewed by: Zbigniew Olszak
Mathematics Subject Classification ID: 53C40
Mathematics Subject Classification ID: 53C55
Mathematics Subject Classification ID: 53D15
Mathematics Subject Classification ID: 53C25
zbMATH DE Number: 6381077
zbMATH Keywords: Hermitian submanifold
zbMATH Keywords: Cayley algebra
zbMATH Keywords: locally symmetric submanifold
Wikidata QID: Q114008842
author: Mihail B. Banaru
MaRDI profile type: Publication
cites work: Vector Cross Products on Manifolds
cites work: Q3668431
cites work: The theory of quasi-Sasakian structures
cites work: A class of almost contact Riemannian manifolds
cites work: On the geometry of Kenmotsu manifolds.
cites work: Q3587601
cites work: Q3915604
cites work: Q5711180
cites work: Q5711313
cites work: Q4461683
description: scientific article; zbMATH DE number 6381077