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math.DG2023
Filtered complexes and cohomologically equivalent subcomplexes
Erlend Grong, Francesca Tripaldi
Inspired by Rumin's work on a subcomplex in sub-Riemannian manifolds which is cohomologically equivalent to the de Rham complex, we present a more general construction that produce…
math.DG2023
Harmonic maps into sub-Riemannian Lie groups
Erlend Grong, Irina Markina
We define harmonic maps between sub-Riemannian manifolds by generalizing known definitions for Riemannian manifolds. We establish conditions for when a horizontal map into a Lie gr…
math.DG2023★ 5 cited
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…