ИСТИНА

In my talk I will be focused on an interesting relationship between integrable systems on semisimple Lie algebras defined by Manakov-type operators and curvature tensors of Kahler metrics of a certain class. This relationship allowed us to complete the local classification of Bochner-flat Kahler metrics of arbitrary signature (for positive definite Kahler metrics, this classification is due to R.Bryant) and to “discover” a new class of symmetric spaces in pseudo-Riemannian geometry.