An integral inequality for compact maximal surfaces inn-dimensional de Sitter space and its applications |
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| Authors: | Luis J Alías Alfonso Romero |
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| Institution: | (1) Departmento de Matemáticas, Universidad de Murcia, 30100 Espinardo, Murcia, Spain;(2) Departmento de Geometría y Topología, Universidad de Granada, 18071 Granada, Spain |
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| Abstract: | In this paper we prove an integral inequality for the Gaussian curvature of compact maximal surfaces inn-dimensional de Sitter space. Some applications of that inequality are given in order to solve the associated Bernstein type problem as well as to characterize the totally geodesic immersion in terms of its area and the first nontrivial eigenvalue of its Laplacian.Partially supported by a DGICYT Grant No. PB91-0705-C02-02Partially supported by a DGICYT Grant No. PB91-0731 |
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| Keywords: | Maximal surfaces de Sitter space |
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