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Higher order mean curvature estimates for bounded complete hypersurfaces
Affiliation:1. Departamento de Matematicas, Universidad de Murcia, Campus de Espinardo, E-30100 Espinardo, Murcia, Spain;2. IMPA, Estrada Dona Castorina, 110, 22460-320 — Rio de Janeiro — RJ, Brazil;3. Dipartimento di Matematica, Universita degli Studi di Milano, Via Saldini 50, I-20133, Milano, Italy;1. Charlotte Scott Research Centre for Algebra, University of Lincoln, Brayford Pool, Lincoln LN6 7TS, United Kingdom;2. Dipartimento di Matematica, Università degli Studi di Trento, via Sommarive 14, I-38123 Povo (Trento), Italy;1. School of Science, Chang''an University, Xi''an, Shaanxi 710064, PR China;2. School of Mathematics and Statistics, Xidian University, Xi''an, Shaanxi 710071, PR China
Abstract:We obtain sharp estimates involving the mean curvatures of higher order of a complete bounded hypersurface immersed in a complete Riemannian manifold. Similar results are also given for complete spacelike hypersurfaces in Lorentzian ambient spaces.
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