Some simple examples of almost Kähler non-Kähler structures.
K-contact A-manifolds
The aim of this paper is to give a characterization of regular K-contact A-manifolds.
Killing tensors and Einstein-Weyl geometry
We give a description of compact Einstein-Weyl manifolds in terms of Killing tensors.
Quaternionic-Kähler geometry and almost Kähler A-manifolds
The aim of this paper is to give an easy explicit description of 3-K-contact structures on certain SO(3)-principal fibre bundles over quaternionic-Kähler manifolds.
Killing tensors and warped product
We present some examples of Killing tensors and give their geometric interpretation. We give new examples of non-compact complete and compact Riemannian manifolds whose Ricci tensor ϱ satisfies the condition
Affine surfaces with parallel shape operators
We study affine nondegenerate Blaschke hypersurfaces whose shape operators are parallel with respect to the induced Blaschke connections. We classify such surfaces and thus give an exact classification of extremal locally symmetric surfaces, first described by F. Dillen.
Compact holomorphically pseudosymmetric Kähler manifolds
The aim of this paper is to present the first examples of compact, simply connected holomorphically pseudosymmetric Kähler manifolds.
On almost Kähler type (2G₃) 4-manifolds
We study four-dimensional almost Kähler manifolds (M,g,J) which satisfy A. Gray's condition (G₃).
QCH Kähler manifolds with κ = 0
The aim of this paper is to describe all Kähler manifolds with quasi-constant holomorphic sectional curvature with κ = 0.
Holomorphically pseudosymmetric Kähler metrics on ℂℙⁿ
The aim of this paper is to present examples of holomorphically pseudosymmetric Kähler metrics on the complex projective spaces ℂℙⁿ, where n ≥ 2.
On certain four-dimensional almost Kähler manifolds
We study four-dimensional almost Kähler manifolds (M,g,J) which admit an opposite almost Kähler structure.
3-K-contact Wolf spaces
The aim of this paper is to give an easy explicit description of 3-K-contact structures on SO(3)-principal fibre bundles over Wolf quaternionic Kähler manifolds.
Homogeneous Riemannian manifolds with generic Ricci tensor
We describe homogeneous manifolds with generic Ricci tensor. We also prove that if 𝔤 is a 4-dimensional unimodular Lie algebra such that dim[𝔤,𝔤] ≤ 2 then every left-invariant metric on the Lie group G with Lie algebra 𝔤 admits two mutually opposite compatible left-invariant almost Kähler structures.
Toric Hermitian surfaces and almost Kähler structures
The aim of this paper is to investigate the class of compact Hermitian surfaces (M,g,J) admitting an action of the 2-torus T² by holomorphic isometries. We prove that if b₁(M) is even and (M,g,J) is locally conformally Kähler and χ(M) ≠ 0 then there exists an open and dense subset U ⊂ M such that is conformally equivalent to a 4-manifold which is almost Kähler in both orientations. We also prove that the class of Calabi Ricci flat Kähler metrics related with the real Monge-Ampère equation is a...
Einstein-Hermitian and anti-Hermitian 4-manifolds
We study 4-dimensional Einstein-Hermitian non-Kähler manifolds admitting a certain anti-Hermitian structure. We also describe Einstein 4-manifolds which are of cohomogeneity 1 with respect to an at least 4-dimensional group of isometries.
Page 1