On Ricci-pseudosymmetric hypersurfaces in space forms

Ryszard Deszcz, Marian Hotloś, Zerrin Sentürk

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We investigate curvature properties of hypersurfaces in semi-Riemannian space forms satisfying some curvature condition of pseudosymmetry type. Our main result states that such hypersurfaces must be Ricci-pseudosymmetric.

Original languageEnglish
Pages (from-to)203-214
Number of pages12
JournalDemonstratio Mathematica
Volume37
Issue number1
DOIs
Publication statusPublished - Jan 2004

Bibliographical note

Publisher Copyright:
© Copyright2018 by Walter de Gruyter GmbH Powered by PubFactory.

Funding

1The first two named authors are supported by the grant 2 P03A 006 17 from the Polish State Committee of Scientific Research (KBN).

FundersFunder number
KBN
Polish State Committee of Scientific Research

    Keywords

    • Cartan hypersurface
    • Pseudosymmetry type manifold
    • Ricci-pseudosymmetric hypersurface

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