학술논문
The Boundary Conjecture for Leaf Spaces
Document Type
Working Paper
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Abstract
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 curvature bound is that of the leaf space. A rigidity theorem for positively curved leaf spaces with maximal boundary volume is also established and plays a key role in the proof of the boundary problem.
Comment: 7 pages
Comment: 7 pages