Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Curvature-adapted real hypersurfaces in quaternionic space forms
Toshiaki AdachiSadahiro Maeda
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2001 年 24 巻 1 号 p. 98-119

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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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© Department of Mathematics, Tokyo Institute of Technology
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