12 citations · 35 across the 12 of their papers we have counts for
16 papers
Uniform doubling on compact homogeneous spaces with cyclic Lie brackets
Nikolaos Panagiotis Souris
We establish the uniform doubling property for -invariant metrics on a wide class of compact Riemannian homogeneous spaces , describing explicitly the volume growth of…
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…
Einstein Lie groups, geodesic orbit manifolds and regular Lie subgroups
Nikolaos Panagiotis Souris
We study the relation between two special classes of Riemannian Lie groups with a left-invariant metric : The Einstein Lie groups, defined by the condition $\operatorname{Ri…
Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds
Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris, Marina Statha
Geodesic orbit spaces (or g.o. spaces) are defined as those homogeneous Riemannian spaces whose geodesics are orbits of one-parameter subgroups of . The correspondin…
Geodesic orbit metrics in a class of homogeneous bundles over real and complex Stiefel manifolds
Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris, Marina Statha
Geodesic orbit spaces (or g.o. spaces) are defined as those homogeneous Riemannian spaces whose geodesics are orbits of one-parameter subgroups of . The correspondin…
Geodesic orbit spaces of compact Lie groups of rank two
Nikolaos Panagiotis Souris
Geodesic orbit spaces are those Riemannian homogeneous spaces (G/H,g) whose geodesics are orbits of one-parameter subgroups of G. We classify the simply connected geodesic orbit sp…
On a class of geodesic orbit spaces with abelian isotropy subgroup
Nikolaos Panagiotis Souris
Riemannian geodesic orbit spaces (G/H,g) are natural generalizations of symmetric spaces, defined by the property that their geodesics are orbits of one-parameter subgroups of G. W…
Geodesics as deformations of one-parameter subgroups in homogeneous manifolds
Nikolaos Panagiotis Souris
We solve explicitly the geodesic equation for a wide class of (pseudo)-Riemannian homogeneous manifolds (G/H,m), including those with G compact, as well as non-compact semisimple L…
Path Developments and Tail Asymptotics of Signature for Pure Rough Paths
Horatio Boedihardjo, Xi Geng, Nikolaos P. Souris
Solutions to linear controlled differential equations can be expressed in terms of iterated path integrals of the driving path. This collection of iterated integrals encodes essent…
Two-step homogeneous geodesics in homogeneous spaces
Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris
We study geodesics of the form , $X,Y\in \fr{g}=\operatorname{Lie}(G)$, in homogeneous spaces , where is the natural projection.…
Motion of charged particle in a class of homogeneous spaces
Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris
We study the motion of charged particle under a natural choice of electromagnetic field in a general class of compact homogeneous spaces. As a special case we describe the motion i…
Geodesic orbit metrics in compact homogeneous manifolds with equivalent isotropy submodules
Nikolaos Panagiotis Souris
A geodesic orbit manifold (GO manifold) is a Riemannian manifold (M,g) with the property that any geodesic in M is an orbit of a one-parameter subgroup of a group G of isometries o…
Geodesics in generalized Wallach spaces
Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris
We study geodesics in generalized Wallach spaces which are expressed as orbits of products of three exponential terms. These are homogeneous spaces whose isotropy represent…