English

On some integral-geometric quantities related to transversality, curvature and visibility

Functional Analysis 2024-04-09 v2 Metric Geometry

Abstract

We consider some integral-geometric quantities that have recently arisen in harmonic analysis and elsewhere, derive some sharp geometric inequalities relating them, and place them in a wider context.

Keywords

Cite

@article{arxiv.2310.12789,
  title  = {On some integral-geometric quantities related to transversality, curvature and visibility},
  author = {Silouanos Brazitikos and Anthony Carbery and Finlay McIntyre},
  journal= {arXiv preprint arXiv:2310.12789},
  year   = {2024}
}