Submanifolds of generalized $(k,\mu)$-space-forms
type: Item
instance of: scholarly article
title: Submanifolds of generalized $(k,\mu)$-space-forms
zbMATH Open document ID: 1424.53062
author: Shyamal Kumar Hui
author: Siraj Uddin
author: Pradip Mandal
published in: Periodica Mathematica Hungarica
publication date: 2019-02-01T00:00:00Z
review text: The present paper deals with the study of submanifolds especially, totally umbilical submanifolds of generalized $(k,\mu)$-space-forms. This study is based on relations on the curvature tensor for these manifolds. Also some explicit examples are shown.\par The authors proved that every totally umbilical submanifold of a generalized $(k,\mu)$-space-form is a pseudo quasi-Einstein manifold.
reviewed by: Gabriela Paola Ovando
Mathematics Subject Classification ID: 53C15
Mathematics Subject Classification ID: 53C25
Mathematics Subject Classification ID: 53C40
zbMATH DE Number: 7011162
zbMATH Keywords: generalized $(k,\mu)$-space-forms
zbMATH Keywords: invariant anti-invariant
zbMATH Keywords: totally umbilical submanifolds
zbMATH Keywords: quasi-Einstein manifold
MaRDI profile type: Publication
full work available at URL: s10998-018-0248-x
OpenAlex ID: W2892643191
DOI: 10.1007/S10998-018-0248-X
description: scientific article; zbMATH DE number 7011162