Remarks on the Quadratic Orthogonal Bisectional Curvature
Differential Geometry
2022-11-11 v1 Combinatorics
Complex Variables
Optimization and Control
Abstract
We exhibit a curious link between the Quadratic Orthogonal Bisectional Curvature, combinatorics, and distance geometry. The Weitzenb\"ock curvature operator, acting on real (1,1)--forms, is realized as the Dirichlet energy of a finite graph, weighted by a matrix of the curvature. These results also illuminate the difference in the nature of the Quadratic Orthogonal Bisectional Curvature and the Real Bisectional Curvature.
Keywords
Cite
@article{arxiv.2211.05362,
title = {Remarks on the Quadratic Orthogonal Bisectional Curvature},
author = {Kyle Broder},
journal= {arXiv preprint arXiv:2211.05362},
year = {2022}
}