复Finsler流形间的调和映射

Harmonic Maps Between Complex Finsler Manifolds

摘要:

通过定义其上的整体内积得到相应 的伴随算子和Laplace算子，并且通过计算得到了强拟凸复Finsler流形间光滑映射的?-能量和?-能量的变分公式,从而给出了调和映射的定义；最后得到?-量与?-量之差不是同伦不变的.

Abstract:

The variation formula of ?-energy and ?-energy is obtained for a smooth map between strongly pseudoconvex complex Finsler manifolds. Also, for such maps, the difference between ?-energy and ?-energy proves to be not a homotopy invariant on complex Finsler manifold.