Connection, Curvature, and Chern class in Kahler geometry (II)

Wednesday, February 17, 2016 - 15:00 to 15:50
Thackeray 427

Abstract or Additional Information

The connection and curvature terms of the Chern connection on a Kahler manifold are found by usual differential geometry methods on real manifolds.  However, in the former case, all real variables are replaced by complex variables $z$ and $\bar{z}$, and the Chern connection helps us reduce the overall computation amount.  It is particularly helpful when we are finding Chern classes by $\det(I+\frac{i}{2\pi}\Omega)$.

In the following, we will see how this method is applied to find curvatures and Chern classes on basic Kahler manifolds.

(Note the change of time, day, and venue from the first talk.)