Singular gradient flow of the distance function and homotopy equivalence
نویسندگان
چکیده
منابع مشابه
Singular gradient flow of the distance function and homotopy equivalence
It is a generally shared opinion that significant information about the topology of a bounded domain Ω of a riemannian manifold M is encoded into the properties of the distance, d∂Ω, from the boundary of Ω. To confirm such an idea we propose an approach based on the invariance of the singular set of the distance function with respect to the generalized gradient flow of of d∂Ω. As an application...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2012
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-012-0835-8