130 citations · 450 across the 22 of their papers we have counts for
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Lie Admissible Triple Algebras: The Connection Algebra of Symmetric Spaces
Hans Munthe-Kaas, Jonatan Stava
Associated to a symmetric space there is a canonical connection with zero torsion and parallel curvature. This connection acts as a binary operator on the vector space of smooth se…
Post-Lie Algebra Structure of Manifolds with Constant Curvature and Torsion
Erlend Grong, Hans Z. Munthe-Kaas, Jonatan Stava
For a general affine connection with parallel torsion and curvature, we show that a post-Lie algebra structure exists on its space of vector fields, generalizing previous results f…
Invariant connections, Lie algebra actions, and foundations of numerical integration on manifolds
Hans Z. Munthe-Kaas, Ari Stern, Olivier Verdier
Motivated by numerical integration on manifolds, we relate the algebraic properties of invariant connections to their geometric properties. Using this perspective, we generalize so…