A brief note on the coarea formula

DOI10.1007/s12188-017-0183-4zbMath1393.58007OpenAlexW2620650613MaRDI QIDQ1640164

Maria Antonietta Farina, Lucio Cadeddu

Publication date: 13 June 2018

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12188-017-0183-4

zbMATH Keywords

Morse functionsingular valuecoarea formulasmooth function

Mathematics Subject Classification ID

Real- or complex-valued set functions (28A10) Integration with respect to measures and other set functions (28A25) Integration on manifolds; measures on manifolds (58C35) Length, area, volume, other geometric measure theory (28A75)

Cites Work

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• An integral formula for total gradient variation
• Spectral pinching in positive Ricci curvature
• Uniform estimates and the whole asymptotic series of the heat content on manifolds
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• A mean-value lemma and applications
• Curvature Measures
• The co-area formula for Sobolev mappings

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