Multiply warped products with compact Einstein manifolds

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Date

2021

Journal Title

Journal ISSN

Volume Title

Publisher

Taylor & Francis Ltd

Access Rights

info:eu-repo/semantics/closedAccess

Abstract

We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein multiply warped products if the scalar curvature is non-positive. It is also found that there does not exist non-trivial connected Einstein multiply warped product manifolds with compact base or compact fibres.

Description

Keywords

Multiply warped product manifold, compact manifold, Einstein manifold

Journal or Series

Quaestiones Mathematicae

WoS Q Value

Q3

Scopus Q Value

Q2

Volume

44

Issue

6

Citation