On Locally Conformal Kaehler Space Forms

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Mutlu P., Şentürk Z.

FILOMAT, vol.29, no.3, pp.593-597, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 3
  • Publication Date: 2015
  • Doi Number: 10.2298/fil1503593m
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.593-597
  • Istanbul Technical University Affiliated: Yes

Abstract

The notion of a locally conformal Kaehler manifold (an l.c.K-manifold) in a Hermitian manifold has been introduced by I. Vaisman in 1976. In [2], K. Matsumoto introduced some results with the tensor P-ij is hybrid. In this work, we give a generalisation about the results of an l.c.K-space form with the tensor P-ij is not hybrid. Moreover, the Sato's form of the holomorphic curvature tensor in almost Hermitian manifolds and l.c.K-manifolds are presented.