2024-03-29T14:57:46Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/887302021-07-13T15:00:27Zcom_10234_43662com_10234_9col_10234_43643
00925njm 22002777a 4500
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Esteve Siscar, Antonio
author
Palmer Andreu, Vicente
author
2014
We state and prove a Chern–Osserman-type inequality in terms of the volume growth for minimal surfaces S which have finite total extrinsic curvature and are properly immersed in a Cartan–Hadamard manifold N with sectional curvatures bounded from above by a negative quantity K N ≤b<0 and such that they are not too curved (on average) with respect to the hyperbolic space with constant sectional curvature given by the upper bound b. We also prove the same Chern–Osserman-type inequality for minimal surfaces with finite total extrinsic curvature and properly immersed in an asymptotically hyperbolic Cartan–Hadamard manifold N with sectional curvatures bounded from above by a negative quantity K N ≤b<0.
0004-2080
http://hdl.handle.net/10234/88730
http://dx.doi.org/10.1007/s11512-013-0182-3
Cartan–Hadamard manifold
volume growth
Chern-Osserman inequality
The Chern–Osserman inequality for minimal surfaces in a Cartan–Hadamard manifold with strictly negative sectional curvatures