489 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Netherlands Institute for Radio AstronomyNL23 papers
- Belarusian State UniversityBY14 papers
- Leibniz Institute for Astrophysics PotsdamDE14 papers
- Polish Academy of SciencesPL14 papers
- Thüringer Landessternwarte TautenburgDE14 papers
- University of ManchesterGB14 papers
- University of WarsawPL14 papers
- Leiden UniversityNL13 papers
- Centre National de la Recherche ScientifiqueFR12 papers
- Radboud University NijmegenNL12 papers
- Rutherford Appleton LaboratoryGB12 papers
- Bielefeld UniversityDE11 papers
14 papers · 1 filter
Some topics in Sasakian geometry, a survey
Aleksy Tralle
In the seminal book of Boyer and Galicki "Sasakian Geometry" the authors formulated a research program of studying topological properties and answering questions about the existenc…
On locally homogeneous pseudo-Riemannian compact einstein manifolds
Maciej Bochenski, Aleksy Tralle
We ask a general question: what are locally homogeneous compact pseudo-Riemannian Einstein manifolds? We show that any standard compact Clifford-Klein form of a simple non-compact…
On linear-quadratic Poisson pencils on trivial central extensions of semisimple Lie algebras
Andriy Panasyuk, Vsevolod Shevchishin
The paper is devoted to quadratic Poisson structures compatible with the canonical linear Poisson structures on trivial 1-dimensional central extensions of semisimple Lie algebras.…
Invariant Nijenhuis Tensors and Integrable Geodesic Flows
Konrad Lompert, Andriy Panasyuk
We study invariant Nijenhuis -tensors on a homogeneous space of a reductive Lie group from the point of view of integrability of a Hamiltonian system of differenti…
Veronese webs and nonlinear PDEs
Boris Kruglikov, Andriy Panasyuk
Veronese webs are closely related to bi-Hamiltonian systems, as was shown by Gelfand and Zakharevich. Recently a correspondence between Veronese three-dimensional webs and three-di…
On solvable compact Clifford-Klein forms
Maciej Bochenski, Aleksy Tralle
In this article we prove that under certain assumptions, a reductive homogeneous space G/H does not admit a solvable compact Clifford-Klein form. This generalizes the well known no…
New constructions of symplectically fat fiber bundles
Maciej Bochenski, Anna Szczepkowska, Aleksy Tralle +1
This work is devoted to new constructions of symplectically fat fiber bundles. The latter are constructed in two ways: using the Kirwan map and expressing the fatness condition in…
Simply-connected K-contact and Sasakian manifolds of dimension 7
Vicente Munoz, Aleksy Tralle
We construct a compact simply-connected 7-dimensional manifold admitting a K-contact structure but not a Sasakian structure. We also study rational homotopy properties of such mani…
On formality of Sasakian manifolds
Indranil Biswas, Marisa Fernández, Vicente Muñoz +1
We investigate some topological properties, in particular formality, of compact Sasakian manifolds. Answering some questions raised by Boyer and Galicki, we prove that all higher (…
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…
Generalized symplectic symmetric spaces
Maciej Bochenski, Aleksy Tralle
Bielavsky introduced and investigated the class of symmetric symplectic spaces, that is, symmetric spaces endowed with a symplectic form invariant with respect to symmetries. Since…
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…
Diffeomorphisms and almost complex structures on tori
Boguslaw Hajduk, Aleksy Tralle
We prove that there exist diffeomorphisms of tori, supported in a disc, which are not isotopic to symplectomorphisms with respect to any symplectic structure. This yields a partial…
A note on hamiltonian Lie group actions and Massey products
Zofia Stepien, Aleksy Tralle
In this note we show that the property of having only vanishing triple Massey products in the equivariant cohomology is inherited by the set of fixed points of hamiltonian circle a…