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Chern-Osserman inequality for minimal surfaces in H$^{n}$

Author(s): Chen Qing; Cheng Yi
Journal: Proc. Amer. Math. Soc. 128 (2000), 2445-2450.
MSC (1991): Primary 53A20; Secondary 53C42
Posted: December 7, 1999
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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.

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Additional Information:

Chen Qing
Affiliation: Department of Mathematics, The University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
Email: qchen@ustc.edu.cn

Cheng Yi
Affiliation: Department of Mathematics, The University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
Email: chengy@ustc.edu.cn

DOI: 10.1090/S0002-9939-99-05334-4
PII: S 0002-9939(99)05334-4
Keywords: Minimal surface, Chern-Osserman inequality, Euler characteristic
Received by editor(s): September 14, 1998
Posted: December 7, 1999
Communicated by: Christopher Croke
Copyright of article: Copyright 2000, American Mathematical Society

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