SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE
Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 717-728
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The purpose of this paper is to investigate sphere theorems for submanifolds with positive biorthogonal (sectional) curvature. We provide some upper bounds for the full norm of the second fundamental form under which a compact submanifold must be diffeomorphic to a sphere.
RUFINO, ELZIMAR. SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE. Glasgow mathematical journal, Tome 59 (2017) no. 3, pp. 717-728. doi: 10.1017/S0017089516000501
@article{10_1017_S0017089516000501,
author = {RUFINO, ELZIMAR},
title = {SOME {SPHERE} {THEOREMS} {FOR} {SUBMANIFOLDS} {WITH} {POSITIVE} {BIORTHOGONAL} {CURVATURE}},
journal = {Glasgow mathematical journal},
pages = {717--728},
year = {2017},
volume = {59},
number = {3},
doi = {10.1017/S0017089516000501},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089516000501/}
}
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