On a conjectured characterization of the sphere

DOI10.1007/BF01349231zbMath0257.53056MaRDI QIDQ2559686

Dimitri Koutroufiotis

Publication date: 1973

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162491

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Convex sets in (3) dimensions (including convex surfaces) (52A15) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

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Cites Work

• Über eine spezielle Klasse von Nabelpunkten und analoge Singularitäten in der zentroaffinen Flächentheorie
• Kennzeichnungen von Sphären
• Some new characterizations of the Euclidean sphere
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• On the uniqueness theorems for the embedding of convex surfaces in three‐dimensional space
• On S. Bernstein's Theorem on Surfaces z(x, y) of Nonpositive Curvature
• The Weyl and Minkowski problems in differential geometry in the large

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