Harmonic functions on Alexandrov spaces and their applications
Anton Petrunin
keywords: XXXX
Curvature bounded below: A definition a la Berg--Nikolaev
Nina Lebedeva Anton Petrunin
We give a new characterization of spaces with nonnegative curvature in the sense of Alexandrov.
keywords: Alexandrov space curvature.
Smoothing 3-dimensional polyhedral spaces
Nina Lebedeva Vladimir Matveev Anton Petrunin Vsevolod Shevchishin
We show that 3-dimensional polyhedral manifolds with nonnegative curvature in the sense of Alexandrov can be approximated by nonnegatively curved 3-dimensional Riemannian manifolds.
keywords: Polyhedral space nonnegative curvature. smoothing

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