Pseudo-umbilical CR-submanifolds in a locally conformal Kaehler space form

Koji Matsumoto; Zerrin Şentürk

doi:10.55937/sut/1248707669

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Home > Journals > SUT J. Math. > Volume 45 > Issue 1 > Article

January 2009 Pseudo-umbilical

C R

-submanifolds in a locally conformal Kaehler space form

Koji Matsumoto, Zerrin Şentürk

Author Affiliations +

Koji Matsumoto,¹ Zerrin Şentürk²
¹2-3-65, Nishi-Odor, Yonezawa, Yamagata,992-0059, Japan
²Department of Mathematics, Fen-Edebiyat Faculty, Istanbul Technical University,Maslak, Istanbul, Turkey

SUT J. Math. 45(1): 73-85 (January 2009). DOI: 10.55937/sut/1248707669

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Abstract

In this report, we consider pseudo-umbilical $C R$ -submanifolds in a locally conformal Kaehler space form and we mainly get a relation of the scalar curvature and the coefficient functions of the shape operator of a pseudo-umbilical $C R$ -submanifold in a locally conformal Kaehler space form.

Acknowlegements

The authors express their hearty thanks to the referee who give them very kind and important suggestions.

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Koji Matsumoto. Zerrin Şentürk. "Pseudo-umbilical $C R$ -submanifolds in a locally conformal Kaehler space form." SUT J. Math. 45 (1) 73 - 85, January 2009. https://doi.org/10.55937/sut/1248707669