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Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics

100%

Bazzoni G., Marrero J. C.

Complex Manifolds

2017

tom 4

nr 1

172-178

We report on a question, posed by L. Ornea and M. Verbitsky in [32], about examples of compact locally conformal symplectic manifolds without locally conformal Kähler metrics. We construct such an example on a compact 4-dimensional nilmanifold, not the product of a compact 3-manifold and a circle.

Formality and the Lefschetz property in symplectic and cosymplectic geometry

81%

Bazzoni G., Fernández M., Muñoz V.

Complex Manifolds

2015

tom 2

nr 1

We review topological properties of Kähler and symplectic manifolds, and of their odd-dimensional counterparts, coKähler and cosymplectic manifolds. We focus on formality, Lefschetz property and parity of Betti numbers, also distinguishing the simply-connected case (in the Kähler/symplectic situation) and the b1 = 1 case (in the coKähler/cosymplectic situation).

Ograniczanie wyników

2 Complex Manifolds

2 Bazzoni G.

1 Fernández M.

1 Marrero J. C.

1 Muñoz V.

1 2017

1 2015

Wyniki wyszukiwania

Locally conformal symplectic nilmanifolds with no locally conformal Kähler metrics

Formality and the Lefschetz property in symplectic and cosymplectic geometry