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Wlodzimierz Jelonek

Publications and source records attributed to Wlodzimierz Jelonek.

15 recordsLinked to original sources

Calabi type Kahler surfaces

We show that a Kähler surface with opposite Hermitian conformally Kähler structure defined by a foliation of complex curves is a QCH Kähler surface of Calabi type.

math.DG↗

QCH Kahler surfaces II

In this paper we give new examples of QCH Kahler surfaces whose opposite almost Hermitian strucure is Hermitian and not locally conformally Kahler. In this way we give also a large class of examples of Hermitian surfaces with J-invariant Ricci tensor which are not l.c.k.

math.DG↗

On some AC^{\perp} manifolds

We give a description of Gray AC^{\perp} manifolds $(M,g)$ whose Ricci tensor has two eigenvalues of multiplicity 1 and dim M-1.

math.DG↗

Solitons and affine projectively flat surfaces

The aim of this paper is to give a local description of affine surfaces, whose induced Blaschke structure is projectively flat. We show that such affine surfaces with constant Gauss affine curvature and indefinite induced Blaschke metric are described by soliton equations.

math.DG↗

Neutral bi-Hermitian Gray surfaces

The aim of this paper is to give examples of compact neutral 4-manifolds $(M,g)$ whose Ricci tensor $ρ$ satisfies the relation $\nabla_Xρ(X,X) =\frac13Xτg(X,X)$. We present also a family of new Einstein bi-Hermitian neutral metrics on ruled surfaces of genus $g>1$.

math.DG↗

Bi-Hermitian gray surfaces II

The aim of this paper is to classify bi-Hermitian compact surfaces $(M,g)$ whose Ricci tensor $ρ$ satisfies the relation $\nabla_Xρ(X,X) =\frac13Xτg(X,X)$.

math.DG↗