11 citations · 38 across the 13 of their papers we have counts for
15 papers
Biconservative hypersurfaces in space forms with harmonic curvature
Ram Shankar Gupta, Andreas Arvanitoyeorgos, Marina Statha
A biconservative hypersurface in a space form is a hypersurface whose normal part of the vector vanishes. We study such hypersurfaces with har…
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…
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…
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…
New homogeneous Einstein metrics on quaternionic Stiefel manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We consider invariant Einstein metrics on the quaternionic Stiefel manifolds of all orthonormal -frames in . This manifold is diffeomorphic to t…
Invariant metrics on homogeneous spaces with equivalent isotropy summands
Marina Statha
The space of -invariant metrics on a homogeneous space is in one-to-one correspondence with the set of inner products on the tangent space $\fr{m}\cong T_{\it o}(G/H)$, wh…
New Einstein metrics on the Lie group which are not naturally reductive
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We obtain new invariant Einstein metrics on the compact Lie groups () which are not naturally reductive. This is achieved by imposing certain symmetry assumptions…
New homogeneous Einstein metrics on Stiefel manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We consider invariant Einstein metrics on the Stiefel manifold $V_q\bb{R} ^n$ of all orthonormal -frames in $\bb{R}^n$. This manifold is diffeomorphic to the homogeneous space $…