8 citations · 16 across the 6 of their papers we have counts for
6 papers
Constructions of contact forms on products and piecewise fibered manifolds
Bogusław Hajduk, Rafał Walczak
We study constructions of contact forms on closed manifolds. A notion of strong symplectic fold structure is defined and we prove that there is a contact form on $M \x X$ provided…
On vector fields having properties of Reeb fields
Boguslaw Hajduk, Rafal Walczak
We study constructions of vector fields with properties which are characteristic to Reeb vector fields of contact forms. In particular, we prove that all closed oriented odd-dimens…
Presymplectic manifolds
Boguslaw Hajduk, Rafal Walczak
A presymplectic structure on odd dimensional manifold is given by a closed 2-form which is nondegenerate, i.e., of maximal rank. We investigate geometry of presymplectic manifolds.…
Symplectic forms invariant under free circle actions on 4--manifolds
Boguslaw Hajduk, Rafal Walczak
Let be a smooth compact manifold with a free circle action generated by a vector field Then for any invariant symplectic form on the contracted form is n…
Existence of symplectic structures on torus bundles over surfaces
Rafal Walczak
Let E be the total space of a locally trivial torus bundle over the surface Σ_g of genus g>1. Using the Seiberg--Witten theory and spectral sequences we prove that E carries a symp…
Invariant metrics on G-spaces
Boguslaw Hajduk, Rafal Walczak
Let X be a G-space such that the orbit space X/G is metrizable. Suppose a family of slices is given at each point of X. We study a construction which associates, under some conditi…