37 citations · 167 across the 30 of their papers we have counts for
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Two-step homogeneous geodesics in homogeneous spaces
Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris
We study geodesics of the form , $X,Y\in \fr{g}=\operatorname{Lie}(G)$, in homogeneous spaces , where is the natural projection.…
Motion of charged particle in a class of homogeneous spaces
Andreas Arvanitoyeorgos, Nikolaos Panagiotis Souris
We study the motion of charged particle under a natural choice of electromagnetic field in a general class of compact homogeneous spaces. As a special case we describe the motion i…
Lorentz Hypersurfaces satisfying with non diagonal shape operator
Deepika, Andreas Arvanitoyeorgos, Ram Shankar Gupta
We study Lorentz hypersurfaces in satisfying with non diagonal shape operator, having complex eigenvalues. We prove that e…
Riemannian -spaces with homogeneous geodesics
Andreas Arvanitoyeorgos, Yu Wang, Guosong Zhao
We investigate homogeneous geodesics in a class of homogeneous spaces called -spaces, which are defined as follows. Let be a generalized flag manifold with $K=C(S)=S\times…
Progress on homogeneous Einstein manifolds and some open probrems
Andreas Arvanitoyeorgos
We give an overview of progress on homogeneous Einstein metrics on large classes of homogeneous manifolds, such as generalized flag manifolds and Stiefel manifolds. The main differ…
Homogeneous Geodesics in Generalized Wallach Spaces
Andreas Arvanitoyeorgos, Yu Wang
We classify generalized Wallach spaces which are g.o. spaces. We also investigate homogeneous geodesics in generalized Wallach spaces for any given invariant Riemannian metric and…