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Chern-Osserman inequality for minimal surfaces in H
Authors:Chen Qing  Cheng Yi
Institution:Department of Mathematics, The University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China ; Department of Mathematics, The University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
Abstract:We obtain Chern-Osserman's inequality of a complete properly immersed minimal surface in hyperbolic $n$-space, provided the $L^{2}$-norm of the second fundamental form of the surface is finite.

Keywords:Minimal surface  Chern-Osserman inequality  Euler characteristic
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