کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5773611 1631341 2017 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Volume preserving non-homogeneous mean curvature flow in hyperbolic space
ترجمه فارسی عنوان
حفظ حجم جریان انحنای غیر همگن در فضای هذلولی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

We study a volume/area preserving curvature flow of hypersurfaces that are convex by horospheres in the hyperbolic space, with velocity given by a generic positive, increasing function of the mean curvature, not necessarily homogeneous. For this class of speeds we prove the exponential convergence to a geodesic sphere. The proof is inspired by [9] and is based on the preserving of the convexity by horospheres that allows to bound the inner and outer radii and to give uniform bounds on the curvature by maximum principle arguments. In order to deduce the exponential trend, we study the behaviour of a suitable ratio associated to the hypersurface that converges exponentially in time to the value associated to a geodesic sphere.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 54, Part B, October 2017, Pages 448-463
نویسندگان
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