8 citations · 8 across the 1 of their papers we have counts for
8 papers
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…
Invariant Einstein metrics on SU(N) and complex Stiefel manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We study existence of invariant Einstein metrics on complex Stiefel manifolds $G/K = \SU(\ell+m+n)/\SU(n) $ and the special unitary groups $G = \SU(\ell+m+n)$. We decompose the Lie…
Ricci flow on certain homogeneous spaces
Marina Statha
We study the behavior of the normalized Ricci flow of invariant Riemannian homogeneous metrics at infinity for generalized Wallach spaces, generalized flag manifolds with four isot…
Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We study invariant Einstein metrics on the Stiefel manifold of all orthonormal -frames in . The isotropy rep…