Interior Gradient Bound For Minimal Graphs in a Product Manifold

Li Ma; Dezhong Chen

Interior Gradient Bound For Minimal Graphs in a Product Manifold

Differential Geometry 2007-05-23 v1 Analysis of PDEs

Authors: Li Ma , Dezhong Chen

Abstract

Let $(M, g)$ be an $n$ -dimensional complete Riemannian manifold with $Ric(M)\geq-(n-1)Q$ , where $Q\geq0$ is a constant. We obtain an interior gradient bound for minimal graphs in $M\times R$ under some technical assumptions. For details, see Theorem 2.

Keywords

riemannian geometry minimal hypersurfaces and morse index minimal surfaces

Cite

@article{arxiv.math/0407474,
  title  = {Interior Gradient Bound For Minimal Graphs in a Product Manifold},
  author = {Li Ma and Dezhong Chen},
  journal= {arXiv preprint arXiv:math/0407474},
  year   = {2007}
}

Comments

9 pages

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