English

The $L_p$ Minkowski problems on affine dual quermassintegrals

Metric Geometry 2026-01-19 v2

Abstract

In this paper, {we extend the affine dual curvature measures to the LpL_p setting and solve the existence part of the corresponding Minkowski problem for non-symmetric discrete measures when p>1p>1 and for symmetric measures when p0p\geq0.} When p=0p=0, the L0L_0 Minkowski problem is the affine dual Minkowski problem, which is introduced and solved by Cai-Leng-Wu-Xi in [6].

Keywords

Cite

@article{arxiv.2504.12117,
  title  = {The $L_p$ Minkowski problems on affine dual quermassintegrals},
  author = {Youjiang Lin and Yuchi Wu},
  journal= {arXiv preprint arXiv:2504.12117},
  year   = {2026}
}

Comments

arXiv admin note: text overlap with arXiv:1802.00933 by other authors

R2 v1 2026-06-28T23:00:36.452Z