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An invariant of nonpositively curved contact manifolds

100%

Kuessner T.

Open Mathematics

2011

tom 9

nr 1

173-183

We define an invariant of contact structures and foliations (on Riemannian manifolds of nonpositive sectional curvature) which is upper semi-continuous with respect to deformations and thus gives an obstruction to the topology of foliations which can be approximated by isotopies of a given contact structure.

Formality and the Lefschetz property in symplectic and cosymplectic geometry

52%

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

1 Complex Manifolds

1 Open Mathematics

1 Bazzoni G.

1 Fernández M.

1 Kuessner T.

1 Muñoz V.

1 2015

1 2011

Wyniki wyszukiwania

An invariant of nonpositively curved contact manifolds

Formality and the Lefschetz property in symplectic and cosymplectic geometry