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.
Differential properties of spaces of symmetric real matrices / Alberto Dolcetti; Donato Pertici. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - STAMPA. - 77:(2019), pp. 25-43.
Differential properties of spaces of symmetric real matrices
Alberto Dolcetti;Donato Pertici
2019
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.
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