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

Autor:	Donato Pertici, Alberto Dolcetti
Rok vydání:	2020
Předmět:	Pure mathematics 2 × 2 real matrices Trace (linear algebra) General Mathematics Metric (mathematics) Quantitative Biology::Populations and Evolution Positive-definite matrix Fixed point Algebra over a field Quantitative Biology::Genomics Manifold Mathematics
Zdroj:	Rendiconti del Circolo Matematico di Palermo Series 2. 70:575-592
ISSN:	1973-4409 0009-725X
DOI:	10.1007/s12215-020-00510-9
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::30ae16c481c83bbe8bf003f0c8780a3a https://doi.org/10.1007/s12215-020-00510-9 Zobrazit plný text záznamu Full text from SpringerLink