COMPLETE WEINGARTEN HYPERSURFACES SATISFYING AN OKUMURA TYPE INEQUALITY

DOI10.1017/S1446788719000028zbMath1442.53032OpenAlexW2921136036WikidataQ126282072 ScholiaQ126282072MaRDI QIDQ3295255

Eudes Leite de Lima, Henrique Fernandes de Lima

Publication date: 8 July 2020

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1446788719000028

zbMATH Keywords

totally umbilical hypersurfaceslinear Weingarten hypersurfacesRiemannian space formsOkumura-type inequalitycircular and hyperbolic cylinders

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Rigidity results (53C24)

Related Items (4)

A sharp integral inequality for compact Weingarten hypersurfaces under an Okumura type inequality ⋮ A short note on a class of Weingarten hypersurfaces in \(\mathbb{R}^{n + 1} \) ⋮ A gap theorem for constant scalar curvature hypersurfaces ⋮ Revisiting linear Weingarten hypersurfaces immersed into a locally symmetric Riemannian manifold

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