Open Access
2006 WARPED PRODUCT SUBMANIFOLDS IN KENMOTSU SPACE FORMS
Cengizhan Murathan, Kadri Arslan, Ridvan Ezentas, Ion Mihai
Taiwanese J. Math. 10(6): 1431-1441 (2006). DOI: 10.11650/twjm/1500404566

Abstract

Recently, Chen established a general sharp inequality for warped products in real space forms. As applications, he obtained obstructions to minimal isometric immersions of warped products into real space forms. Afterwards, Matsumoto and one of the present authors proved the Sasakian version of this inequality.

In the present paper, we obtain sharp estimates for the warping function in terms of the mean curvature for warped products isometrically immersed in Kenmotsu space forms. Some applications are derived.

Citation

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Cengizhan Murathan. Kadri Arslan. Ridvan Ezentas. Ion Mihai. "WARPED PRODUCT SUBMANIFOLDS IN KENMOTSU SPACE FORMS." Taiwanese J. Math. 10 (6) 1431 - 1441, 2006. https://doi.org/10.11650/twjm/1500404566

Information

Published: 2006
First available in Project Euclid: 18 July 2017

zbMATH: 1126.53032
MathSciNet: MR2275137
Digital Object Identifier: 10.11650/twjm/1500404566

Subjects:
Primary: 53B25 , 53C25 , 53C40

Keywords: Kenmotsu space form , mean curvature , warped product , warping function

Rights: Copyright © 2006 The Mathematical Society of the Republic of China

Vol.10 • No. 6 • 2006
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