A characterization of round spheres in space forms

DOI10.2140/pjm.2018.297.67zbMath1402.53043arXiv1706.04644OpenAlexW3099761958WikidataQ129091956 ScholiaQ129091956MaRDI QIDQ1799048

Roberto Alonso Núñez, Francisco Fontenele

Publication date: 18 October 2018

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04644

zbMATH Keywords

scalar curvaturehyperbolic polynomialshypersurfaces in space formsLaplacian of the \(r\)-th mean curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

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Curvature estimates for graphs in warped product spaces ⋮ Real hypersurfaces of complex space forms satisfying Fischer-Marsden equation

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