8 citations · 8 across the 4 of their papers we have counts for
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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…
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…
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 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…