Descriptor: "15B48, 53C35, 53C50, 17B40, 17B10" - Searchworks@Jio Institute Digital Library Search Results

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Author: Dolcetti, Alberto and Pertici, Donato
Subjects: Mathematics - Differential Geometry, 15B48, 53C35, 53C50, 17B40, 17B10
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, Comment: 17 pages
Published: 2018

Author: Alberto Dolcetti and Donato Pertici
Subjects: Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 15B48, 53C35, 53C50, 17B40, 17B10, Non-singular symmetric matrices, positive denite matrices, trace metric, symmetric (Semi-)Riemannian spaces, isometries, representations of Lie groups, inner and outer automorphisms
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, Comment: 17 pages
Published: 2018
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