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Applications of Bochner formula to minimal submanifold of the sphere

โœ Scribed by A. Barros


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
61 KB
Volume
44
Category
Article
ISSN
0393-0440

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โœฆ Synopsis


The aim of this note is to study some properties of compact minimal submanifolds M n of the Euclidean sphere S N . We will give estimates for the first eigenvalue of the Laplacian of M n as well as present a new estimate for the norm of the second fundamental form for hypersurfaces. Moreover, we obtain a new characterization of the sphere S n .


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