Classification of complete minimal surfaces in R3 with total curvature 12... .
C.J. Costa (1991)
Inventiones mathematicae
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Displaying similar documents to “Minimal surfaces and 3-manifolds of non-negative Ricci curvature.”
Classification of complete minimal surfaces in R3 with total curvature 12... .
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In this note, we prove that on a surface with Alexandrov’s curvature bounded below, the distance derives from a Riemannian metric whose components, for any p ∈ [1, 2), locally belong to W1,p out of a discrete singular set. This result is based on Reshetnyak’s work on the more general class of surfaces with bounded integral curvature.
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Stefan Hildebrandt (1972)
Mathematische Zeitschrift
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