CHARACTERISATIONS OF GEODESIC HYPERSPHERES IN A NON-FLAT COMPLEX SPACE FORM
Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 217-227
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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.
MAEDA, SADAHIRO; ADACHI, TOSHIAKI; KIM, YOUNG HO. CHARACTERISATIONS OF GEODESIC HYPERSPHERES IN A NON-FLAT COMPLEX SPACE FORM. Glasgow mathematical journal, Tome 55 (2013) no. 1, pp. 217-227. doi: 10.1017/S0017089512000456
@article{10_1017_S0017089512000456,
author = {MAEDA, SADAHIRO and ADACHI, TOSHIAKI and KIM, YOUNG HO},
title = {CHARACTERISATIONS {OF} {GEODESIC} {HYPERSPHERES} {IN} {A} {NON-FLAT} {COMPLEX} {SPACE} {FORM}},
journal = {Glasgow mathematical journal},
pages = {217--227},
year = {2013},
volume = {55},
number = {1},
doi = {10.1017/S0017089512000456},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000456/}
}
TY - JOUR AU - MAEDA, SADAHIRO AU - ADACHI, TOSHIAKI AU - KIM, YOUNG HO TI - CHARACTERISATIONS OF GEODESIC HYPERSPHERES IN A NON-FLAT COMPLEX SPACE FORM JO - Glasgow mathematical journal PY - 2013 SP - 217 EP - 227 VL - 55 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000456/ DO - 10.1017/S0017089512000456 ID - 10_1017_S0017089512000456 ER -
%0 Journal Article %A MAEDA, SADAHIRO %A ADACHI, TOSHIAKI %A KIM, YOUNG HO %T CHARACTERISATIONS OF GEODESIC HYPERSPHERES IN A NON-FLAT COMPLEX SPACE FORM %J Glasgow mathematical journal %D 2013 %P 217-227 %V 55 %N 1 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089512000456/ %R 10.1017/S0017089512000456 %F 10_1017_S0017089512000456
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