37 citations · 167 across the 30 of their papers we have counts for
Showing 2009 · math.DGShow all
3 papers · 2 filters
math.DG2009★ 1 cited
Einstein metrics on compact Lie groups which are not naturally reductive
Andreas Arvanitoyeorgos, Kunihiko Mori, Yusuke Sakane
The study of left-invariant Einstein metrics on compact Lie groups which are naturally reductive was initiated by J. E. D'Atri and W. Ziller in 1979. In 1996 the second author obta…
math.DG2009★ 37 cited
Invariant Einstein metrics on flag manifolds with four isotropy summands
Andreas Arvanitoyeorgos, Ioannis Chrysikos
A generalized flag manifold is a homogeneous space of the form , where is the centralizer of a torus in a compact connected semisimple Lie group . We classify all flag…
math.DG2009★ 18 cited
Invariant Einstein metrics on generalized flag manifolds with two isotropy summands
Andreas Arvanitoyeorgos, Ioannis Chrysikos
Let be a generalized flag manifold, that is the adjoint orbit of a compact semisimple Lie group . We use the variational approach to find invariant Einstein metrics for…