Surfaces of bounded mean curvature in Riemannian manifolds
نویسندگان
چکیده
منابع مشابه
Surfaces of Bounded Mean Curvature in Riemannian Manifolds
Consider a sequence of closed, orientable surfaces of fixed genus g in a Riemannian manifold M with uniform upper bounds on mean curvature and area. We show that on passing to a subsequence and choosing appropriate parametrisations, the inclusion maps converge in C to a map from a surface of genus g to M . We also show that, on passing to a further subsequence, the distance functions correspond...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2011
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-2011-05190-1