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math.RA2025
A characterization of perfect Leibniz algebras
Nikolaos Panagiotis Souris
Leibniz algebras are non-antisymmetric generalizations of Lie algebras that have attracted substantial interest due to their close relation with the latter class. A Leibniz algebra…
math.DG2025
Geodesic orbit metrics on the compact Lie group
Nikolaos Panagiotis Souris
Geodesics on Riemannian manifolds are precisely the locally length-minimizing curves, but their explicit description via simple functions is rarely possible. Geodesics of the simpl…