Convex Hypersurfaces with Prescribed Curvature and Boundary in Riemannian Manifolds |
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Authors: | Thomas Nehring |
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Affiliation: | (1) Mathematisches Institut, Universität Heidelberg, Im Neuenheimer Feld 288, D-69120 Heidelberg, Germany (E-mail |
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Abstract: | In this article a priori estimates at the boundary for the second fundamental form of n-dimensional convex hypersurfaces M with prescribed curvature quotient Sn (M)/Sl (M) in Riemannian manifolds are derived. A consequence of these estimates and other known results is an existence theorem for such hypersurfaces, which is a generalization of a recent result of Ivochkina and Tomi to the Riemannian case. |
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Keywords: | hypersurfaces with prescribed curvature |
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