1102.1105 (Vamsi P. Pingali et al.)

On Bott-Chern forms and their applications    [PDF]

Vamsi P. Pingali, Leon A. Takhtajan

We use Chern-Weil theory for Hermitian holomorphic vector bundles with canonical connections for explicit computation of the Chern forms of trivial bundles with special non-diagonal Hermitian metrics. We prove that every del-dellbar exact real form of the type (k,k) on an n-dimensional complex manifold X arises as a difference of the Chern character forms of trivial Hermitian vector bundles with canonical connections, and that (modulo the image of del and delbar) every real form of type (k,k), kView original: http://arxiv.org/abs/1102.1105