English

Some projective distance inequalities for simplices in complex projective space

Metric Geometry 2015-06-29 v2

Abstract

We prove inequalities relating the absolute value of the determinant of n+1 linearly independent unit vectors in an n+1 dimensional complex vector space and the projective distances from the vertices to the hyperplanes containing the opposite faces of the simplices in complex projective n-space whose vertices or faces are determined by the given vectors.

Keywords

Cite

@article{arxiv.1407.5850,
  title  = {Some projective distance inequalities for simplices in complex projective space},
  author = {Mark Fincher and Heather Olney and William Cherry},
  journal= {arXiv preprint arXiv:1407.5850},
  year   = {2015}
}

Comments

11 pages, 1 figure, a few minor typos corrected in version 2

R2 v1 2026-06-22T05:09:51.520Z