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math.DG2018★ 5 cited
Alexandrov Spaces with Maximal Radius
Karsten Grove, Peter Petersen
Abstract. In this paper we prove several rigidity theorems related to and including Lytchak's problem. The focus is on Alexandrov spaces with \curv\geq1, nonempty boundary, and max…
math.DG2018
The Boundary Conjecture for Leaf Spaces
Karsten Grove, Adam Moreno, Peter Petersen
We prove that the boundary of an orbit space or more generally a leaf space of a singular Riemannian foliation is an Alexandrov space in its intrinsic metric, and that its lower cu…