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

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dc.creatorFroehlich, Steffen
dc.creatorWinklmann, Sven
dc.date2006-03-28
dc.date.accessioned2026-07-07T07:07:17Z
dc.date.available2026-07-07T07:07:17Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0603659
dc.identifierhttp://arxiv.org/abs/math/0603659
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/110339
dc.subjectAnalysis of PDEs
dc.subjectDifferential Geometry
dc.subject35J60; 53A10; 49Q05
dc.titleCurvature estimates for graphs with prescribed mean curvature and flat normal bundle
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