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math.DG2025
Analysis and Computation of Geodesic Distances on Reductive Homogeneous Spaces
Remco Duits, Gijs Bellaard, Barbara Tumpach
Many geometric machine learning and image analysis applications, require a left-invariant metric on the 5D homogeneous space of 3D positions and orientations SE(3)/SO(2). This is d…
math.DG2024
Totally geodesic submanifolds in the manifold SPD of symmetric positive-definite real matrices
Alice Barbara Tumpach, Gabriel Larotonda
This paper is a self-contained exposition of the geometry of symmetric positive-definite real matrices , including necessary and sufficent condit…