COMPLETE WEINGARTEN HYPERSURFACES SATISFYING AN OKUMURA TYPE INEQUALITY
COMPLETE WEINGARTEN HYPERSURFACES SATISFYING AN OKUMURA TYPE INEQUALITY
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Cambridge, UK: Cambridge University Press
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English
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Cambridge, UK: Cambridge University Press
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In this paper we deal with complete linear Weingarten hypersurfaces immersed into Riemannian space forms. Assuming an Okumura type inequality on the total umbilicity tensor of such hypersurfaces, we prove that either the hypersurface is totally umbilical or it holds an estimate for the norm of the total umbilicity tensor, which is also shown be sha...
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COMPLETE WEINGARTEN HYPERSURFACES SATISFYING AN OKUMURA TYPE INEQUALITY
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TN_cdi_proquest_journals_2779212865
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2779212865
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ISSN
1446-7887
E-ISSN
1446-8107
DOI
10.1017/S1446788719000028
