8 citations · 26 across the 9 of their papers we have counts for
9 papers
On simply connected K-contact non-Sasakian manifolds
Boguslaw Hajduk, Aleksy Tralle
We solve the problem posed by Boyer and Galicki about the existence of K-contact simply connected manifolds with no Sasakian structure. Although the result lies in the framework of…
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…
Non-symplectic smooth circle actions on symplectic manifolds
Boguslaw Hajduk, Krzysztof Pawalowski, Aleksy Tralle
We present some methods to construct smooth circle actions on symplectic manifolds with non-symplectic fixed point sets or non-symplectic cyclic isotropy point sets. All such actio…
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.…
Exotic smooth structures and symplectic forms on closed manifolds
Boguslaw Hajduk, Aleksy Tralle
We give a short proof of the (known) result that there are no Kaehler structures on exotic tori. This yields a negative solution to a problem posed by Benson and Gordon. W discuss…