Principal angles in pseudo-euclidean spaces of index 1

被引：0

作者：

Rodriguez, Jose L. Vilca ^{[1
]}

Brandao, Tauan L. A. ^{[2
,4
]}

Batista, Victor M. O. ^{[3
]}

机构：

[1] Univ Sao Paulo, Inst Matemat & Estat, Sao Paulo, SP, Brazil

[2] Univ Fed Bahia, Inst Matemat & Estat, Salvador, BA, Brazil

[3] Univ Fed Rural Pernambuco, Unidade Acad Cabo Santo Agostinho, Recife, PE, Brazil

[4] Univ Fed Bahia, Inst Matemat & Estat, Av Milton St S-N, Salvador, BA, Brazil

来源：

LINEAR & MULTILINEAR ALGEBRA | 2024年 / 72卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

Principal angles; pairs of subspaces; pairs of totally geodesic submanifolds; SUBSPACES; PAIRS;

D O I：

10.1080/03081087.2022.2163371

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：787 / 811

页数：25