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math.DG2025
Equivalence of sub-Laplacian on Polarized groups
Antoni Kijowski, Sebastiano Nicolussi Golo, Ben Warhurst
We characterize smooth maps between sub-Riemannian Lie groups that commute with sub-Laplacians. We show they are sub-Riemannian conformal submersions. Our work clarifies the analys…
math.DG2023
Asymptotically mean value harmonic functions in sub-Riemannian and RCD settings
Tomasz Adamowicz, Antoni Kijowski, Elefterios Soultanis
We consider weakly and strongly asymptotically mean value harmonic (amv-harmonic) functions on subriemannian and RCD settings. We demonstrate that, in non-collapsed RCD-spaces with…