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arxiv: math/0703327 · v1 · submitted 2007-03-12 · 🧮 math.DG · math.AP

Area estimates for two-dimensional immersions of mean curvature type in Euclidean spaces of higher codimension

classification 🧮 math.DG math.AP
keywords immersionsareagraphstwo-dimensionalboundscodimensioncriticalcurvature
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We establish area bounds for two-dimensional immersions in R^3 and R^n. Namely, for \mu-stable immersions in R^3 (R^n), for graphs in $\mathbb R^3$ which solve quasilinear equations in divergence form, and for graphs which are critical for Fermat-type variational problems in R^n.

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