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2001 Curvature-adapted real hypersurfaces in quaternionic space forms
Toshiaki Adachi, Sadahiro Maeda
Kodai Math. J. 24(1): 98-119 (2001). DOI: 10.2996/kmj/1106157299

Abstract

In this paper we study geodesics on curvature-adapted real hypersurfaces in non-flat quaternionic space forms. By observing the extrinsic shape of geodesics on these hypersurfaces we characterize them in the class of real hypersurfaces. We also investigate the length spectrum of geodesic spheres, which are the simplest curvature-adapted real hypersurfaces, in non-flat quaternionic space forms.

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Toshiaki Adachi. Sadahiro Maeda. "Curvature-adapted real hypersurfaces in quaternionic space forms." Kodai Math. J. 24 (1) 98 - 119, 2001. https://doi.org/10.2996/kmj/1106157299

Information

Published: 2001
First available in Project Euclid: 19 January 2005

zbMATH: 1032.53044
MathSciNet: MR1813722
Digital Object Identifier: 10.2996/kmj/1106157299

Subjects:
Primary: 53C40
Secondary: 53C26

Rights: Copyright © 2001 Tokyo Institute of Technology, Department of Mathematics

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Vol.24 • No. 1 • 2001
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