Totally geodesic submanifolds in the manifold SPD of symmetric positive-definite real matrices

DOI10.1007/S41884-024-00146-ZMaRDI QIDQ6670445

Alice Barbara Tumpach, Gabriel Larotonda

Publication date: 23 January 2025

Published in: Information Geometry (Search for Journal in Brave)

zbMATH Keywords

covariance matricesreductive symmetric spacessymmetric positive-definite matricesdecompositions of Lie groups

Mathematics Subject Classification ID

Global submanifolds (53C40) Differential geometry of symmetric spaces (53C35)

Cites Work

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• A Cartan-Hadamard theorem for Banach-Finsler manifolds
• Conditional expectations and operator decompositions
• Decompositions and complexifications of some infinite-dimensional homogeneous spaces
• Manifolds of semi-negative curvature
• Geometric Invariant Theory
• NONPOSITIVELY CURVED METRIC IN THE POSITIVE CONE OF A FINITE VON NEUMANN ALGEBRA
• Mostow's decomposition theorem for \(L^\ast\)-groups and applications to affine coadjoint orbits and stable manifolds

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