Sharp Estimates for some Integral-Geometric Quantities Related To Transversality, Curvature And Visibility
Functional Analysis
2025-11-25 v1
Abstract
We investigate integral-geometric quantities arising from harmonic analysis which measure visibility and transversality. Motivated by their applications in multilinear Kakeya problems and affine-invariant measures on surfaces, we derive exact lower and upper bounds employing geometric and functional inequalities of convex geometry.
Cite
@article{arxiv.2511.18602,
title = {Sharp Estimates for some Integral-Geometric Quantities Related To Transversality, Curvature And Visibility},
author = {Silouanos Brazitikos and Dimitris-Marios Liakopoulos},
journal= {arXiv preprint arXiv:2511.18602},
year = {2025}
}