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SOME SPHERE THEOREMS FOR SUBMANIFOLDS WITH POSITIVE BIORTHOGONAL CURVATURE

Published online by Cambridge University Press:  07 February 2017

ELZIMAR RUFINO
ELZIMAR RUFINO*
Affiliation:
Departamento de Matemática, Universidade Federal de Roraima, UFRR, Campus Paricarana, Bloco V. Av. Cap. Ene Garcez, 2413, Bairro Aeroporto, 69310-000, Boa Vista, Roraima, Brazil e-mail: elzimar.rufino@ufrr.br, fenix.elzy@gmail.com
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Abstract

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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.

Keywords

53C2153C2353C25
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 59 , Issue 3 , September 2017 , pp. 717 - 728
Copyright
Copyright © Glasgow Mathematical Journal Trust 2017 

References

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