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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
1
vote
How to formally connect the log-Euclidean and Riemannian metrics for Symmetric Positive Defi...
It is not so simple a relationship. Linearization suggests that log-Euclidean metric should live on some sort of tangent space to the cone of SPD matrices, but both metrics live on the cone itself ins …
7
votes
0
answers
442
views
Geometric bang-bang theorem for nonlinear optimal control
The classical bang-bang theorem is usually stated for linear systems (e.g. Control Theory from the Geometric Viewpoint by Agrachev-Sachkov, p. 209). Sussman proved a nice generalization for systems af …