On the rigidity of constant mean curvature complete vertical graphs in warped products |
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| Authors: | CP Aquino HF de Lima |
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| Institution: | a Departamento de Matemática, Universidade Federal do Piauí, Teresina, Piauí, 64049-550, Brazil
b Departamento de Matemática e Estatística, Universidade Federal de Campina Grande, Campina Grande, Paraíba, 58109-970, Brazil |
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| Abstract: | We investigate constant mean curvature complete vertical graphs in a warped product, which is supposed to satisfy an appropriated convergence condition. In this setting, under suitable restrictions on the values of the mean curvature and the norm of the gradient of the height function, we obtain rigidity theorems concerning to such graphs. Furthermore, applications to the hyperbolic and Euclidean spaces are given. |
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| Keywords: | primary 53C42 secondary 53B30 53C50 53Z05 83C99 |
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