K. YANO and S. BOCHNER: Curvature and Betti numbers
W. FENCHEL (1954)
Mathematica Scandinavica
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Displaying similar documents to “An estimate of Fréchet distances on surfaces of bounded curvature”
K. YANO and S. BOCHNER: Curvature and Betti numbers
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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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