Several new characterizations of the 2-dimensional sphere in
Karel Svoboda (1979)
Czechoslovak Mathematical Journal
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Displaying similar documents to “Determination of a surface by its mean curvature”
Several new characterizations of the 2-dimensional sphere in
Characterizations of the sphere in by means of the pseudoparallel mean curvature vector field
Karel Svoboda (1980)
Časopis pro pěstování matematiky
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Constructing isothermal curvature line coordinates on surfaces which admit them
Eugenio Aulisa, Magdalena Toda, Zeynep Kose (2013)
Open Mathematics
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Isothermic parameterizations are synonyms of isothermal curvature line parameterizations, for surfaces immersed in Euclidean spaces. We provide a method of constructing isothermic coordinate charts on surfaces which admit them, starting from an arbitrary chart. One of the primary applications of this work consists of numerical algorithms for surface visualization.
Examples of Riemannian manifolds with positive curvature almost everywhere.
Petersen, Peter, Wilhelm, Frederick (1999)
Geometry & Topology
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Curvatures of conflict surfaces in Euclidean 3-space
Jorge Sotomayor, Dirk Siersma, Ronaldo Garcia (1999)
Banach Center Publications
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This article extends to three dimensions results on the curvature of the conflict curve for pairs of convex sets of the plane, established by Siersma [3]. In the present case a conflict surface arises, equidistant from the given convex sets. The Gaussian, mean curvatures and the location of umbilic points on the conflict surface are determined here. Initial results on the Darbouxian type of umbilic points on conflict surfaces are also established. The results are expressed in terms of...