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arXiv · 2211.05362

Remarks on the Quadratic Orthogonal Bisectional Curvature

Kyle Broder
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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.

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BibTeXRIS

Kyle Broder. 2022-11-10. Remarks on the Quadratic Orthogonal Bisectional Curvature. https://doi.org/10.1007/s00022-022-00653-3

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