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Differential properties of spaces of symmetric real matrices

Authors :
Dolcetti, Alberto
Pertici, Donato
Publication Year :
2018

Abstract

We study the differential geometric properties of the manifold of non-singular symmetric real matrices endowed with the trace metric; in case of positive definite matrices we describe the full group of isometries<br />Comment: 17 pages

Subjects

Subjects :
Mathematics - Differential Geometry
15B48, 53C35, 53C50, 17B40, 17B10

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1807.01113
Document Type :
Working Paper

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