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June 2002 Non-immersion theorems for warped products in complex hyperbolic spaces
Bang-Yen Chen
Proc. Japan Acad. Ser. A Math. Sci. 78(6): 96-100 (June 2002). DOI: 10.3792/pjaa.78.96

Abstract

We prove a general optimal inequality for warped products in complex hyperbolic spaces and investigate warped products which satisfy the equality case of the inequality. As immediate applications, we obtain several non-immersion theorems for warped products in complex hyperbolic spaces.

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Bang-Yen Chen. "Non-immersion theorems for warped products in complex hyperbolic spaces." Proc. Japan Acad. Ser. A Math. Sci. 78 (6) 96 - 100, June 2002. https://doi.org/10.3792/pjaa.78.96

Information

Published: June 2002
First available in Project Euclid: 23 May 2006

zbMATH: 1018.53024
MathSciNet: MR1913939
Digital Object Identifier: 10.3792/pjaa.78.96

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

Keywords: complex hyperbolic space , inequality , minimal immersion , non-immersion theorem , warped products

Rights: Copyright © 2002 The Japan Academy

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Vol.78 • No. 6 • June 2002
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