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Differential properties of spaces of symmetric real matrices

Differential Geometry 2018-07-04 v1

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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Cite

@article{arxiv.1807.01113,
  title  = {Differential properties of spaces of symmetric real matrices},
  author = {Alberto Dolcetti and Donato Pertici},
  journal= {arXiv preprint arXiv:1807.01113},
  year   = {2018}
}

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17 pages