8 citations · 12 across the 4 of their papers we have counts for
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Non naturally reductive Einstein metrics on $\SU(N)$ via generalized flag manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We obtain new invariant Einstein metrics on the compact Lie group $\SU(N)$ which are not naturally reductive. This is achieved by using the generalized flag manifold $G/K=\SU(k_1+\…
Non naturally reductive Einstein metrics on the orthogonal group via real flag manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We obtain new invariant Einstein metrics on the compact Lie groups $\SO(n)$ which are not naturally reductive. This is achieved by using the real flag manifolds $\SO(k_1+\cdots +k_…
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…
Equigeodesics on some classes of homogeneous spaces
Marina Statha
We study homogeneous curves on some classes of reductive homogeneous spaces G=H which are geodesics with respect to any G-invariant metric on G=H. These curves are called equigeode…
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…
Equigeodesics on generalized flag manifolds with -type -roots
Marina Statha
We study homogeneous curves in generalized flag manifolds with -type -roots, which are geodesics with respect to each -invariant metric on . These curves are…