Heinz type estimates for graphs in Euclidean space
نویسندگان
چکیده
منابع مشابه
Heinz type estimates for graphs in Euclidean space
Let M be an entire graph in the Euclidean (n+1)-space R. Denote by H , R and |A|, respectively, the mean curvature, the scalar curvature and the length of the second fundamental form of M. We prove that if the mean curvature H of M is bounded then infM |R| = 0, improving results of Elbert and Hasanis-Vlachos. We also prove that if the Ricci curvature of M is negative then infM |A| = 0. The latt...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2010
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-2010-10590-7