I. Mykytyuk

activity

20102019

most citedDirac brackets and reduction of invariant bi-Poisson structures

1 citations · 2 across the 5 of their papers we have counts for

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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★ 1 cited

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 $X$ …

math.DG2014

Integrability of geodesic flows for metrics on suborbits of the adjoint orbits of compact groups

Ihor V. Mykytyuk

Let $G / K$ be an orbit of the adjoint representation of a compact connected Lie group $G$ , $σ$ be an involutive automorphism of $G$ and $G ~$ be the Lie group of fixed points o…

math.DG2010★ 1 cited

Structure of the coadjoint orbits of Lie groups

Ihor Mykytyuk

We study the geometrical structure of the coadjoint orbits of an arbitrary complex or real Lie algebra $g$ containing some ideal $n$ . It is shown that any c…