English

Contact measures in isotropic spaces

Differential Geometry 2017-07-13 v2

Abstract

We revisit the contact measures introduced by Firey, and further developed by Schneider and Teufel, from the perspective of the theory of valuations on manifolds. This reveals a link between the kinematic formulas for area measures studied by Wannerer and the integral geometry of curved isotropic spaces. As an application we find explicitly the kinematic formula for the surface area measure in hermitian space.

Keywords

Cite

@article{arxiv.1512.00178,
  title  = {Contact measures in isotropic spaces},
  author = {Gil Solanes},
  journal= {arXiv preprint arXiv:1512.00178},
  year   = {2017}
}

Comments

15 pages

R2 v1 2026-06-22T11:58:20.943Z