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Complete Weingarten Hypersurfaces Satisfying An Okumura Type Inequality

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 sharp in the sense that the product of space forms realize them. Our approach is based on a version of the Omori–Yau maximum principle for a suitable Cheng–Yau type operator.

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Judul Seri

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY; Vol.109 Issue 1 August 2020

No. Panggil

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Penerbit

: .,

Deskripsi Fisik

p. 81 - 92

Bahasa

English

ISBN/ISSN

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Klasifikasi

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Tipe Isi

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Tipe Media

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Tipe Pembawa

-

Edisi

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Subjek

TOTALLY UMBILICAL HYPERSURFACES
RIEMANNIAN SPACE FORMS
LINER WEINGARTEN HYPERSURFACES
OKUMURA TYPE INEQUALITY
CIRCULAR AND HYPERBOLIC CYLINDERS

Info Detail Spesifik

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Pernyataan Tanggungjawab

Eudes L. De Lima, Henrique F. De Lima

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