I. Mykytyuk

collaborators

3 papers

math.DG2019

Ricci-flat Kähler metrics on tangent bundles of rank-one symmetric spaces of compact type

P. M. Gadea, J. C. González-Dávila, I. V Mykytyuk

We give an explicit description of all complete $G$ -invariant Ricci-flat Kähler metrics on the tangent bundle $T (G / K) ≅ G^{C} / K^{C}$ of rank-one Riemannian symmetric spaces $G…

math.DG2019

Invariant Ricci-flat Kähler metrics on tangent bundles of compact symmetric spaces

P. M. Gadea, J. C. González-Dávila, I. V. Mykytyuk

We give a description of all $G$ -invariant Ricci-flat Kähler metrics on the canonical complexification of any compact Riemannian symmetric space $G / K$ of arbitrary rank, by using s…

math.DG2016

Dirac brackets and reduction of invariant bi-Poisson structures

Ihor V. Mykytyuk, Andriy Panasyuk

Let $X$ be a manifold with a bi-Poisson structure ${η^{t}}$ generated by a pair of $G$ -invariant symplectic structures $ω_{1}$ and $ω_{2}$ , where the Lie group $G$ acts properly on $X$ …