I. Chrysikos

activity

20092026

most citedInvariant Einstein metrics on flag manifolds with four isotropy summands

37 citations · 182 across the 24 of their papers we have counts for

collaborators

Showing 2010Show all

5 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★ 32 cited

The Ricci flow approach to homogeneous Einstein metrics on flag manifolds

Stavros Anastassiou, Ioannis Chrysikos

We give the global picture of the normalized Ricci flow on generalized flag manifolds with two or three isotropy summands. The normalized Ricci flow for these spaces descents to a…

math.DG2010★ 8 cited

Flag manifolds, symmetric $\fr{t}$-triples and Einstein metrics

Ioannis Chrysikos

Let $G$ be a compact connected simple Lie group and let $M=G^{\bb{C}}/P=G/K$ be a generalized flag manifold. In this article we focus on an important invariant of $G / K$ , the so cal…

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

The Ricci flow approach to homogeneous Einstein metrics on flag manifolds

Flag manifolds, symmetric $\fr{t}$-triples and Einstein metrics

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 $S O (2 n) / U (p) \times U (n - p)$