5 papers · 1 filter
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_…
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…