Totally real submanifolds of Kaehler product manifolds - Egyptian Knowledge Bank

387209

Totally real submanifolds of Kaehler product manifolds

Article

Last updated: 31 Dec 2024

Subjects

Abstract

Totally real submanifolds have been studied by many geometers in different ambient
manifolds. The purpose of this note is to study totally real submanifolds in Kaehlerian product manifolds.
We derive some integral formulas computing the Laplacian of the square of the second fundamental
form and using these formulas we prove pinching theorems. In fact, we have generalized
some results due to Yano and Kon [1,2] to the case when the ambient manifold is Kaehlerian product
manifold

DOI

10.1016/j.joems.2015.02.006

Keywords

Kaehlerian product manifold, Totally real submanifold, Complex space form

Authors

View Authors

First Name

Majid

Last Name

Choudhary

MiddleName

Ali

Affiliation

Department of Mathematics, Jamia Millia Islamia, New Delhi 110025, India

Email

City

Orcid

Volume

Article Issue

Related Issue

51062

Issue Date

2016-06-01

Receive Date

2024-10-20

Publish Date

2016-06-01

Page Start

258

Page End

262

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 24_Issue 2_Pages 258-262.pdf

PDF . 402.7kB

Link

https://joems.journals.ekb.eg/article_387209.html

Detail API

https://joems.journals.ekb.eg/service?article_code=387209

Order

387,209

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

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