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Geography of non-formal symplectic and contact manifolds
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Christoph Bock
Published/Copyright:
March 26, 2010
Abstract
Let (m, b) be a pair of natural numbers. For m even (resp. m odd and b ≥ 2) we show that if there is an m-dimensional non-formal compact oriented manifold with first Betti number b1 = b, there is also a symplectic (resp. contact) manifold with these properties.
Received: 2009-01-07
Revised: 2009-06-02
Published Online: 2010-03-26
Published in Print: 2011-July
© de Gruyter 2011
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Articles in the same Issue
- The sh-Lie algebra perturbation lemma
- Gradient estimates in Orlicz spaces for nonlinear elliptic equations with BMO nonlinearity in nonsmooth domains
- Geography of non-formal symplectic and contact manifolds
- Hp → Hp boundedness implies Hp → Lp boundedness
- Global regularity for the minimal surface equation in Minkowskian geometry
- On elementarily κ-homogeneous unary structures
- Kernels, regularity and unipotent radicals in linear algebraic monoids
- Mod-Gaussian convergence: new limit theorems in probability and number theory
- Uniform large deviation for pinned hyperbolic Brownian motion
