Translator Disclaimer
March 2014 The real hypersurface of type (B) with two distinct principal curvatures in a complex hyperbolic space
Katsufumi Yamashita, Sadahiro Maeda
Kodai Math. J. 37(1): 24-33 (March 2014). DOI: 10.2996/kmj/1396008247

Abstract

Real hypersurfaces M2n−1 of type (B) in CHn(c), n ≥ 2 are known as interesting examples of Hopf hypersurfaces with constant principal curvatures. They are homogeneous in this ambient space. Moreover, the numbers of distinct principal curvatures of all real hypersurfaces of type (B) with radius r ≠ (1/$\sqrt{|c|}$) loge(2 + $\sqrt{3}$) are 3. When r = (1/$\sqrt{|c|}$) loge(2 + $\sqrt{3}$), the real hypersurface of type (B) has two distinct principal curvatures. The purpose of this paper is to characterize this Hopf hypersurface having two distinct constant principal curvatures.

Citation

Download Citation

Katsufumi Yamashita. Sadahiro Maeda. "The real hypersurface of type (B) with two distinct principal curvatures in a complex hyperbolic space." Kodai Math. J. 37 (1) 24 - 33, March 2014. https://doi.org/10.2996/kmj/1396008247

Information

Published: March 2014
First available in Project Euclid: 28 March 2014

zbMATH: 1293.53072
MathSciNet: MR3189513
Digital Object Identifier: 10.2996/kmj/1396008247

Rights: Copyright © 2014 Tokyo Institute of Technology, Department of Mathematics

JOURNAL ARTICLE
10 PAGES


SHARE
Vol.37 • No. 1 • March 2014
Back to Top