Y. Sakane

activity

20092025

most citedNon-naturally reductive Einstein metrics on exceptional Lie groups

25 citations · 78 across the 17 of their papers we have counts for

collaborators

Showing 2010Show all

3 papers · 1 filter

math.DG2010

Homogeneous Einstein metrics on the generalized flag manifold Sp(n)/(U(p) x U(n-p))

Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane

We find the precise number of non-Kähler $S p (n)$ -invariant Einstein metrics on the generalized flag manifold $M = S p (n) / (U (p) \times U (n - p))$ with $n \geq 3$ and $1 \leq p \leq n - 1$ . We…

math.DG2010

Homogeneous Einstein metrics on G_2/T

Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane

We construct the Einstein equation for an invariant Riemannian metric on the exceptional full flag manifold $M = G_{2} / T$ . By computing a Gröbner basis for a system of polynomials of m…

math.DG2010★ 9 cited

Complete description of invariant Einstein metrics on the generalized flag manifold $S O (2 n) / U (p) \times U (n - p)$

Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane

We find the precise number of non-Kähler $S O (2 n)$ -invariant Einstein metrics on the generalized flag manifold $M = S O (2 n) / U (p) \times U (n - p)$ with $n \geq 4$ and $2 \leq p \leq n - 2$ . We…

Homogeneous Einstein metrics on the generalized flag manifold Sp(n)/(U(p) x U(n-p))

Homogeneous Einstein metrics on G_2/T

Complete description of invariant Einstein metrics on the generalized flag manifold SO(2n)/U(p)×U(n−p)

Complete description of invariant Einstein metrics on the generalized flag manifold $S O (2 n) / U (p) \times U (n - p)$