CHARACTERISATIONS OF GEODESIC HYPERSPHERES IN A NON-FLAT COMPLEX SPACE FORM

MAEDA, SADAHIRO ; ADACHI, TOSHIAKI ; KIM, YOUNG HO

Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 217-227

Résumé

Totally η-umbilic real hypersurfaces are the simplest examples of real hypersurfaces in a non-flat complex space form. Geodesic hyperspheres in this ambient space are typical examples of such real hypersurfaces. We characterise every geodesic hypersphere by observing the extrinsic shapes of its geodesics and using the derivative of its contact form.

Détail

DOI : 10.1017/S0017089512000456

Mots-clés : Primary 53B25, Secondary 53C40

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