Geometric Properties and Distance Inequalities on Grassmannians

Autor:	Tam, Tin-Yau, Wang, Xiang Xiang
Rok vydání:	2024
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	In this paper we obtain inequalities for the geometric mean of elements in the Grassmannians. These inequalities reflect the elliptic geometry of the Grassmannians as Riemannian manifolds. These include Semi-Parallelogram Law, Law of Cosines and geodesic triangle inequalities.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.15161 Zobrazit plný text záznamu View this record from Arxiv