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Kaehler and para-Kaehler curvature Weyl manifolds
Kaehler para-Kaehler curvature Weyl manifolds
2010/11/24
We show that the Weyl structure of an almost-Hermitian Weyl manifold of dimension at least 6 is trivial if the associated curvature operator satisfies the Kaehler identity. Similarly if the curvature...
Six-dimensional nearly Kaehler manifolds of cohomogeneity one (II)
Six-dimensional nearly Kaehler manifolds cohomogeneity
2010/11/24
Let M be a six dimensional manifold, endowed with a cohomogeneity one action of G= SU_2 x SU_2, and M_reg its subset of regular points. We show that M_reg admits a smooth, 2-parameter family of G-inv...
We give a simple proof of a result originally due to Dimca and Suciu: a group that is both Kaehler and the fundamental group of a closed three-manifold is finite. We also prove that a group that is bo...
Degeneration of Kaehler structures and half-form quantization of toric varieties
Kaehler structures half-form quantization
2010/11/19
We study the half-form Kaehler quantization of a smooth symplectic toric manifold $(X,\omega)$, such that $[\omega/2\pi]-c_{1}(X)/2 \in H^{2}(X,{\mathbb{Z}})$ and is nonnegative. We define the half-f...