141 citations · 555 across the 57 of their papers we have counts for
Showing 2014 · math.DGShow all
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math.DG2014★ 6 cited
Smoothing 3-dimensional polyhedral spaces
Nina Lebedeva, Vladimir Matveev, Anton Petrunin +1
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…
math.DG2014★ 1 cited
Lectures on piecewise distance-preserving maps
Anton Petrunin, Allan Yashinski
The lectures discuss piecewise distance-preserving maps from a 2-dimensional polyhedral space into the plane.
math.DG2014
Area minimizing polyhedral surfaces are saddle
Anton Petrunin
We show that area minimizing polyhedral surfaces are saddle.
math.DG2014★ 5 cited
Local characterization of polyhedral spaces
Nina Lebedeva, Anton Petrunin
We show that a compact length space is polyhedral if a small spherical neighborhood of any point is conic.