Square-densities, and volume forms

2020/12/11 by Anders Kock, Kock, Anders
Mathematics · #Algebraic and Geometric Analysis #History and Theory of Mathematics #Mathematics and Applications #math.DG #msc:53B20

paper · pdf · doi:10.48550/arxiv.2012.06210

Improving the version 2 (March 2021), by removing the special status of "thin" infinitesimal simplices

arxiv created 2021/11/20 · arxiv updated 2021/11/23

Abstract

Heron's formula from antiquity, for the area of a triangle, is used to relate volume form and infinitesimal square-volume of certain infinitesimal simplices in a Riemannian manifold

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