| Full text | |
| Author(s): |
Rodriguez, Jose L. Vilca
;
Brandao, Tauan L. A.
;
Batista, Victor M. O.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | LINEAR & MULTILINEAR ALGEBRA; v. N/A, p. 25-pg., 2023-01-10. |
| Abstract | |
In this paper, we introduce the notion of principal angles between subspaces of the same signature in a (real, complex or quaternionic) pseudo-euclidean space of index 1. We show that these determine the relative position of an important class of pairs of hyperbolic and elliptic subspaces (Theorems 3.9 and 4.10). Also, as an application, we will see that these angles can be used to study the relative position of pairs of an important class of totally geodesic submanifolds of the (real, complex or quaternionic) hyperbolic space (Theorem 6.3). As a consequence we obtain a nice interpretation of these principal angles as geometric invariants of the hyperbolic space. (AU) | |
| FAPESP's process: | 19/08659-8 - Lie algebras: isomorphisms and actions |
| Grantee: | Jose Luis Vilca Rodriguez |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |