Volume no :7, Issue no: 2, February (2011)

ON THE LAGRANGIAN SUBSPACES OF COMPLEX MINKOWSKI SPACE

Author's: Yang Liu
Pages: [87] - [93]
Received Date: October 24, 2010
Submitted by:

Abstract

In this article, we mainly investigate the spaces of with complex Finsler metrics and study their Lagrangian subspaces. For torus invariant complex Finsler metrics, we show that there is a topological torus of Lagrangians. For general complex Finsler metric, we show that the subspaces of with complex Finsler metric in the orbit of any Lagrangian acted by the isometry group of the metric are Lagrangians.

Keywords

complex space, Kähler form, Lagrangian subspace, Finsler metric.