The surface area preserving mean curvature flow
نویسندگان
چکیده
منابع مشابه
Deforming Area Preserving Diffeomorphism of Surfaces by Mean Curvature Flow
Let f : Σ1 → Σ2 be an area preserving diffeomorphism between compact Riemann surfaces of constant curvature. The graph of f can be viewed as a Lagrangian submanifold in Σ1 × Σ2. This article discusses a canonical way to deform f along area preserving diffeomorphisms. This deformation process is realized through the mean curvature flow of the graph of f in Σ1 × Σ2. It is proved that the flow exi...
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ژورنال
عنوان ژورنال: Asian Journal of Mathematics
سال: 2003
ISSN: 1093-6106,1945-0036
DOI: 10.4310/ajm.2003.v7.n1.a2