Maximal time existence of unnormalized conical Kähler–Ricci flow
نویسندگان
چکیده
منابع مشابه
Development of Curves on Polyhedra via Conical Existence
We establish that certain classes of simple, closed, polygonal curves on the surface of a convex polyhedron develop in the plane without overlap. Our primary proof technique shows that such curves “live on a cone,” and then develops the curves by cutting the cone along a “generator” and flattening the cone in the plane. The conical existence results support a type of source unfolding of the sur...
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Article history: Received 30 April 2008 Available online 6 March 2009 Communicated by Luchezar L. Avramov
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Let C be a simple, closed, directed curve on the surface of a convex polyhedron P. We identify several classes of curves C that “live on a cone,” in the sense that C and a neighborhood to one side may be isometrically embedded on the surface of a cone Λ, with the apex a of Λ enclosed inside (the image of) C; we also prove that each point of C is “visible to” a. In particular, we obtain that the...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2018
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crelle-2018-0007