Kähler manifolds with some Killing tensors
Volume 173 / 2023
Colloquium Mathematicum 173 (2023), 15-24
MSC: Primary 53C55; Secondary 53C25, 53B35.
DOI: 10.4064/cm8697-1-2023
Published online: 1 March 2023
Abstract
The aim of this paper is to classify compact, simply connected Kähler manifolds which admit a $J$-invariant Killing tensor with two eigenvalues of multiplicities $2$ and $2n-2$ and with constant eigenvalue corresponding to the $2$-dimensional eigendistribution.
