Curvature estimates for graphs with prescribed mean curvature and flat normal bundle

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We consider graphs Sigma^n in R^m with prescribed mean curvature and flat normal bundle. Using techniques of Schoen, Simon and Yau, and Ecker-Huisken, we derive an interior curvature estimate of the form |A|^2<=C/R^2 up to dimension n<=5, where C is a constant depending on natural geometric data of Sigma^n only. This generalizes previous results of Smoczyk, Wang and Xin, and Wang for minimal graphs with flat normal bundle.

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Analysis of PDEs, Differential Geometry, 35J60; 53A10; 49Q05

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http://salesiana.dossiersoluciones.com/handle/123456789/110339

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603659
 http://arxiv.org/abs/math/0603659

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arXiv