A class of strictly convex hypersurfaces satisfying Weingarten-type inequalities, I

DOI10.1090/conm/756/15201zbMath1459.53062OpenAlexW4210389211MaRDI QIDQ4965218

Bogdan Dragos Suceavă, Leonard Mihai Giugiuc

Publication date: 26 February 2021

Published in: Geometry of Submanifolds (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/conm/756/15201

zbMATH Keywords

shape operatorprincipal curvaturesGauss-Kronecker curvaturetotal mean curvatureinequalities with real numbers

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Inequalities for sums, series and integrals (26D15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Cites Work

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• On closed Weingarten surfaces
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• A Riemannian invariant and its applications to submanifold theory
• Total Mean Curvature and Submanifolds of Finite Type
• On Special W-Surfaces
• Conformal mappings and first eigenvalue of Laplacian on surfaces
• Umbilical Points and W-Surfaces

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