Affiliation:
1. Mathematical Institute SANU, Serbia
Abstract
Complex hyperbolic space has the structure of a solvable Lie group. Based on
the recent classification of Riemannian left-invariant metrics we describe
all left-invariant almost K?hler structures on that group. The only K?hler
structure is the standard structure of the complex hyperbolic space and all
others are strictly almost K?hler. We calculated the Chern connection and
obtained the characterization by its torsion tensor. It is proved that the
only SCF-soliton is the K?hler one.
Publisher
National Library of Serbia