32 citations · 32 across the 2 of their papers we have counts for
4 papers
The canonical submersion of -manifolds and transverse Kähler-Einstein structures
Ioannis Chrysikos
This paper is devoted to the study of the holonomy properties of -dimensional -manifolds equipped with their characteristic connection. These structures genera…
Adapted connections with skew-torsion on metric -manifolds
Aleksandra Borówka, Ioannis Chrysikos
We provide a natural higher-dimensional generalization of the adapted connections with skew-torsion on almost Hermitian and almost contact metric manifolds presented in \cite{FrIv}…
A note on the volume of -Einstein manifolds with skew-torsion
Ioannis Chrysikos
We study the volume of compact Riemannian manifolds which are Einstein with respect to a metric connection with (parallel) skew-torsion. We provide a result for the sign of the fir…
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…