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April 2003 A general optimal inequality for warped products in complex projective spaces and its applications
Bang-Yen Chen
Proc. Japan Acad. Ser. A Math. Sci. 79(4): 89-94 (April 2003). DOI: 10.3792/pjaa.79.89

Abstract

We prove a general optimal inequality for warped products in complex projective spaces and determine warped products which satisfy the equality case of the inequality. Two non-immersion theorems are obtained as immediate applications.

Citation

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Bang-Yen Chen. "A general optimal inequality for warped products in complex projective spaces and its applications." Proc. Japan Acad. Ser. A Math. Sci. 79 (4) 89 - 94, April 2003. https://doi.org/10.3792/pjaa.79.89

Information

Published: April 2003
First available in Project Euclid: 18 May 2005

zbMATH: 1054.53074
MathSciNet: MR1976363
Digital Object Identifier: 10.3792/pjaa.79.89

Subjects:
Primary: 53C40 , 53C42
Secondary: 53B25

Keywords: complex projective space , inequality , non-immersion theorem , warped product

Rights: Copyright © 2003 The Japan Academy

Vol.79 • No. 4 • April 2003
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