Compact embedded surfaces with constant mean curvature in $\Bbb{S}^2\times\Bbb{R}$
نویسندگان
چکیده
منابع مشابه
Properly embedded surfaces with constant mean curvature
In this paper we prove a maximum principle at infinity for properly embedded surfaces with constant mean curvature H > 0 in the 3-dimensional Euclidean space. We show that no one of these surfaces can lie in the mean convex side of another properly embedded H surface. We also prove that, under natural assumptions, if the surface lies in the slab |x3| < 1/2H and is symmetric with respect to the ...
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We study the rigidity of complete, embedded constant mean curvature surfaces in R 3 . Among other things, we prove that when such a surface has finite genus, then intrinsic isometries of the surface extend to isometries of R 3 or its isometry group contains an index two subgroup of isometries that extend. Mathematics Subject Classification: Primary 53A10, Secondary 49Q05, 53C42
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 2020
ISSN: 1080-6377
DOI: 10.1353/ajm.2020.0050