4 papers
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…
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…
A review of compact geodesic orbit manifolds and the g.o. condition for $\SU(5)/\s(\U(2)\times \U(2))$
Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris, Marina Statha
Geodesic orbit manifolds (or g.o. manifolds) are those Riemannian manifolds whose geodesics are integral curves of Killing vector fields. Equivalently, there exists a Lie g…
On the transitivity of Lie ideals and a characterization of perfect Lie algebras
Nikolaos Panagiotis Souris
We explore general intrinsic and extrinsic conditions that allow the transitivity of the relation of being a Lie ideal, in the sense that if a Lie algebra is a subid…