• Corpus ID: 119665362

Closed Kac-Rice type formulas on Riemannian manifolds

@article{Jubin2019ClosedKT,
  title={Closed Kac-Rice type formulas on Riemannian manifolds},
  author={Beno{\^i}t Jubin},
  journal={arXiv: Differential Geometry},
  year={2019}
}
  • Benoît Jubin
  • Published 7 January 2019
  • Mathematics
  • arXiv: Differential Geometry
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. 
1 Citations

Intrinsic volumes of sublevel sets

We establish formulas that give the intrinsic volumes, or curvature measures, of sublevel sets of functions defined on Riemannian manifolds as integrals of functionals of the function and its

References

Differential Topology, Springer (GTM

  • 1997