Displaying similar documents to “Yang-Mills bar connections over compact Kähler manifolds”

On a generalized Calabi-Yau equation

Hongyu Wang, Peng Zhu (2010)

Annales de l’institut Fourier

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Dealing with the generalized Calabi-Yau equation proposed by Gromov on closed almost-Kähler manifolds, we extend to arbitrary dimension a non-existence result proved in complex dimension 2 .

New hyper-Käahler structures on tangent bundles

Xuerong Qi, Linfen Cao, Xingxiao Li (2014)

Communications in Mathematics

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Let ( M , g , J ) be an almost Hermitian manifold, then the tangent bundle T M carries a class of naturally defined almost hyper-Hermitian structures ( G , J 1 , J 2 , J 3 ) . In this paper we give conditions under which these almost hyper-Hermitian structures ( G , J 1 , J 2 , J 3 ) are locally conformal hyper-Kähler. As an application, a family of new hyper-structures is obtained on the tangent bundle of a complex space form. Furthermore, by restricting these almost hyper-Hermitian structures on the unit tangent sphere bundle T 1 M , we obtain...

Analytic inversion of adjunction: L 2 extension theorems with gain

Jeffery D. McNeal, Dror Varolin (2007)

Annales de l’institut Fourier

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We establish new results on weighted L 2 -extension of holomorphic top forms with values in a holomorphic line bundle, from a smooth hypersurface cut out by a holomorphic function. The weights we use are determined by certain functions that we call denominators. We give a collection of examples of these denominators related to the divisor defined by the submanifold.