On locally conformal Kaehler Space Forms

Pegah Mutlu; Zerrin Sentürk

doi:10.2298/FIL1503593M

On locally conformal Kaehler Space Forms

Pegah Mutlu, Zerrin Sentürk

Department of Mathematics Engineering

Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	593-597
Number of pages	5
Journal	Filomat
Volume	29
Issue number	3
DOIs	https://doi.org/10.2298/FIL1503593M
Publication status	Published - 2015

Bibliographical note

Publisher Copyright:
© 2015, University of Nis. All Rights Reserved.

Keywords

Holomorphic curvature tensor
Hybrid
Lee form
Locally conformal kaehler manifold
Locally conformal kaehler space form

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10.2298/FIL1503593M

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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 Pij is hybrid. In this work, we give a generalisation about the results of an l.c.K-space form with the tensor Pij is not hybrid. Moreover, the Sato{\textquoteright}s form of the holomorphic curvature tensor in almost Hermitian manifolds and l.c.K-manifolds are presented.",

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AU - Mutlu, Pegah

AU - Sentürk, Zerrin

PY - 2015

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AB - 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 Pij is hybrid. In this work, we give a generalisation about the results of an l.c.K-space form with the tensor Pij is not hybrid. Moreover, the Sato’s form of the holomorphic curvature tensor in almost Hermitian manifolds and l.c.K-manifolds are presented.

KW - Holomorphic curvature tensor

KW - Hybrid

KW - Lee form

KW - Locally conformal kaehler manifold

KW - Locally conformal kaehler space form

UR - https://www.scopus.com/pages/publications/84928949625

U2 - 10.2298/FIL1503593M

DO - 10.2298/FIL1503593M

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VL - 29

SP - 593

EP - 597

JO - Filomat

JF - Filomat

IS - 3

ER -

On locally conformal Kaehler Space Forms

Abstract

Bibliographical note

Keywords

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