Advanced search
Start date
Betweenand


Principal angles and pairs of totally geodesic submanifolds of the real hyperbolic space

Full text
Author(s):
Vilca Rodriguez, Jose L. ; Brandao, Tauan L. A. ; Batista, Victor M. O.
Total Authors: 3
Document type: Journal article
Source: LINEAR & MULTILINEAR ALGEBRA; v. 70, n. 20, p. 16-pg., 2021-06-12.
Abstract

In this paper, we study some parameters which determine the relative position of a pair of quaternionic subspaces and a pair of totally geodesic submanifolds in the real hyperbolic space. We extend some results about principal angles between two real and complex subspaces for quaternionic subspaces. We also prove that the distance and the principal angles of certain tangent spaces determine the congruence class of a non-asymptotic pair of totally geodesic submanifolds of the real hyperbolic space under the action of its isometry group. (AU)

FAPESP's process: 19/08659-8 - Lie algebras: isomorphisms and actions
Grantee:Jose Luis Vilca Rodriguez
Support Opportunities: Scholarships in Brazil - Post-Doctoral