Square-densities, and volume forms
Differential Geometry
2021-11-23 v3
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
Cite
@article{arxiv.2012.06210,
title = {Square-densities, and volume forms},
author = {Anders Kock},
journal= {arXiv preprint arXiv:2012.06210},
year = {2021}
}
Comments
Improving the version 2 (March 2021), by removing the special status of "thin" infinitesimal simplices