English

The intrinsic Hopf-Lax semigroup vs. The intrinsic slope

Metric Geometry 2022-07-12 v1 Differential Geometry

Abstract

In this note, we introduce a natural notion of intrinsic Hopf-Lax semigroup in the context of the so-called intrinsically Lipschitz sections. The main aims are to prove the link between the intrinsic Hopf-Lax semigroup and the intrinsic slope and to show that the intrinsic Hopf-Lax semigroup is a subsolution of Hamilton-Jacobi type equality.

Keywords

Cite

@article{arxiv.2207.04486,
  title  = {The intrinsic Hopf-Lax semigroup vs. The intrinsic slope},
  author = {Daniela Di Donato},
  journal= {arXiv preprint arXiv:2207.04486},
  year   = {2022}
}