Closed Kac-Rice type formulas on Riemannian manifolds
Differential Geometry
2019-01-08 v1
Abstract
We establish a few formulas that compute the volume of the zero-set (or nodal set) of a function on a compact Riemannian manifold as integrals of functionals of the function and its derivatives.
Cite
@article{arxiv.1901.01629,
title = {Closed Kac-Rice type formulas on Riemannian manifolds},
author = {Benoît Jubin},
journal= {arXiv preprint arXiv:1901.01629},
year = {2019}
}
Comments
7 pages