On locally conformal Kaehler space forms | Zendy

Pegah Mutlu | Zendy; Zerrin Şentürk | Zendy

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On locally conformal Kaehler space forms

Author(s) -

Pegah Mutlu,

Zerrin Şentürk

Publication year - 2015

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1503593m

Subject(s) - mathematics , holomorphic function , pure mathematics , manifold (fluid mechanics) , hermitian matrix , kähler manifold , conformal map , hermitian manifold , riemann curvature tensor , tensor (intrinsic definition) , space (punctuation) , ricci curvature , complex manifold , mathematical analysis , curvature , geometry , mechanical engineering , linguistics , philosophy , engineering

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.

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