The Logarithmic Minkowski conjecture and the $L_p$-Minkowski Problem
Analysis of PDEs
2024-01-24 v3 Metric Geometry
Abstract
The current state of art concerning the Minkowski problem as a Monge-Ampere equation on the sphere and Lutwak's Logarithmic Minkowski conjecture about the uniqueness of even solution in the case are surveyed and connections to many related problems are discussed.
Keywords
Cite
@article{arxiv.2210.00194,
title = {The Logarithmic Minkowski conjecture and the $L_p$-Minkowski Problem},
author = {Karoly J. Boroczky},
journal= {arXiv preprint arXiv:2210.00194},
year = {2024}
}