Elliptic isometries of the manifold of positive definite real matrices with the trace metric

被引：3
|
作者：
Dolcetti, Alberto [1 ]
Pertici, Donato [1 ]
机构：
[1] Dipartimento Matemat & Informat Ulisse Dini, Viale Morgagni 67-A, I-50134 Florence, Italy
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2021年 / 70卷 / 01期
关键词：
Positive definite matrices; Trace metric; Hadamard manifolds; (Elliptic) isometries; (Irreducible) symmetric Riemannian spaces; De Rham decomposition; RIEMANNIAN GEOMETRY;
D O I：
10.1007/s12215-020-00510-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the differential-geometric properties of the loci of fixed points of the elliptic isometries of the manifold of positive definite real matrices with the trace metric. We also give an explicit description of such loci and in particular we find their De Rham decomposition.
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页码：575 / 592
页数：18
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