کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516290 | 1344004 | 2005 | 17 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
A maximum principle for combinatorial Yamabe flow
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: A maximum principle for combinatorial Yamabe flow A maximum principle for combinatorial Yamabe flow](/preview/png/9516290.png)
چکیده انگلیسی
This article studies a discrete geometric structure on triangulated manifolds and an associated curvature flow (combinatorial Yamabe flow). The associated evolution of curvature appears to be like a heat equation on graphs, but it can be shown to not satisfy the maximum principle. The notion of a parabolic-like operator is introduced as an operator which satisfies the maximum principle, but may not be parabolic in the usual sense of operators on graphs. A maximum principle is derived for the curvature of combinatorial Yamabe flow under certain assumptions on the triangulation, and hence the heat operator is shown to be parabolic-like. The maximum principle then allows a characterization of the curvature as well was a proof of long term existence of the flow.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology - Volume 44, Issue 4, July 2005, Pages 809-825
Journal: Topology - Volume 44, Issue 4, July 2005, Pages 809-825
نویسندگان
David Glickenstein,