On locally conformal Kaehler Space Forms

Pegah Mutlu; Zerrin Sentürk

doi:10.2298/FIL1503593M

On locally conformal Kaehler Space Forms

Pegah Mutlu
, Zerrin Sentürk

Matematik Bölümü

Istanbul Technical University

Araştırma çıktısı: Dergi yayını › Makale › Hakem

2 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	593-597
Sayfa sayısı	5
Dergi	Filomat
Hacim	29
Basın numarası	3
DOI'lar	https://doi.org/10.2298/FIL1503593M
Yayın durumu	Yayınlandı - 2015

Bibliyografik not

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

Belgeye Erişim

10.2298/FIL1503593M

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On locally conformal Kaehler Space Forms",

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.",

keywords = "Holomorphic curvature tensor, Hybrid, Lee form, Locally conformal kaehler manifold, Locally conformal kaehler space form",

author = "Pegah Mutlu and Zerrin Sent{\"u}rk",

year = "2015",

doi = "10.2298/FIL1503593M",

language = "English",

volume = "29",

pages = "593--597",

journal = "Filomat",

issn = "0354-5180",

publisher = "Universitet of Nis",

number = "3",

}

TY - JOUR

T1 - On locally conformal Kaehler Space Forms

AU - Mutlu, Pegah

AU - Sentürk, Zerrin

PY - 2015

Y1 - 2015

N2 - 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.

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

M3 - Article

AN - SCOPUS:84928949625

SN - 0354-5180

VL - 29

SP - 593

EP - 597

JO - Filomat

JF - Filomat

IS - 3

ER -

On locally conformal Kaehler Space Forms

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap