Ontology type: schema:ScholarlyArticle
2013-05
AUTHORSP. Albano, P. Cannarsa, Khai T. Nguyen, C. Sinestrari
ABSTRACTLet be a Riemannian manifold and let be a bounded open subset of . It is well known that significant information about the geometry of is encoded into the properties of the distance, , from the boundary of . Here, we show that the generalized gradient flow associated with the distance preserves singularities, that is, if is a singular point of then the generalized characteristic starting at stays singular for all times. As an application, we deduce that the singular set of has the same homotopy type as . More... »
PAGES23-43
http://scigraph.springernature.com/pub.10.1007/s00208-012-0835-8
DOIhttp://dx.doi.org/10.1007/s00208-012-0835-8
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