Lebesgue area and deGiorgi perimeter of the boundary of a topological ball in \(R^ n\).

zbMath0513.49028MaRDI QIDQ1050608

Togo Nishiura

Publication date: 1982

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

de Giorgi perimeterfinitely triangulable connected oriented n-dimensional manifoldsintegral geometric areaLebesgue area

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Integration of real functions of several variables: length, area, volume (26B15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Integral geometry (53C65) ?ech types (55N05)

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