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arxiv: 1004.0758 · v4 · pith:P35YN6PKnew · submitted 2010-04-06 · 🧮 math.DG

Some calibrated surfaces in manifolds with density

classification 🧮 math.DG
keywords weightedcalibrationarea-minimizingargumentcalibrateddensitiesdensityhypercylinders
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Hyperplanes, hyperspheres and hypercylinders in $\Bbb R^n$ with suitable densities are proved to be weighted minimizing by a calibration argument. Also calibration method is used to prove a weighted minimal hypersurface is weighted area-minimizing locally.

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