A characterization of spheres, circles and cardioids

DOI10.1007/BF01236085zbMath0780.53010OpenAlexW2054234764WikidataQ61978224 ScholiaQ61978224MaRDI QIDQ689775

Lars Gæde, Steen Markvorsen, Jens Gravesen

Publication date: 15 November 1993

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01236085

zbMATH Keywords

totally umbilicsupported mean curvature

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) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Curves in Euclidean and related spaces (53A04)

Cites Work

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• Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
• Hypersurfaces with a constant support function
• Probleme der lokalen und globalen mehrdimensionalen Differentialgeometrie
• Eine kennzeichnende Eigenschaft der Affinsphären
• Shorter Notes: Submanifolds in a Euclidean Hypersphere
• Eine Kennzeichnung der Kugel

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