37 citations · 167 across the 30 of their papers we have counts for
4 papers · 1 filter
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_…
Hypersurfaces satisfying in $\mathbb{E}_{\lowercase{s}}^{5}$
Ram Shankar Gupta, Andreas Arvanitoyeorgos
In this paper, we study hypersurfaces satisfying ( a constant) in the pseudo-Euclidean space $(…
Biconservative hypersurfaces in space forms $\overline{M}^{\lowercase{n+1}}(\lowercase{c})$
Ram Shankar Gupta, Andreas Arvanitoyeorgos
In this paper we study biconservative hypersurfaces in space forms with four distinct principal curvatures whose second fundamental form has constant nor…
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…