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20172026
most citedMaking matrices better: Geometry and topology of polar and singular value decomposition

1 citations · 1 across the 9 of their papers we have counts for

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math.DG2026

Mean curvature and closed geodesics in convex hypersurfaces

James Dibble, Joseph Ansel Hoisington

We give a sharp lower bound for the total mean curvature of a convex hypersurface in Euclidean space in terms of the length of a shortest nontrivial closed geodesic, generalizing a…

math.DG2026

Total absolute curvature and rigidity of surfaces in Cartan-Hadamard manifolds

Mohammad Ghomi, Joseph Ansel Hoisington, Matteo Raffaelli +1

We show that closed surfaces with minimal total absolute curvature in Cartan-Hadamard 3-manifolds bound flat convex bodies. This generalizes Chern-Lashof's theorem for surfaces in…