Locally Conformally Flat Doubly Twisted Product Complex Finsler Manifolds

Let M(1)x((lambda 1,lambda 2))M(2),F be a doubly twisted product manifold of two strongly pseudoconvex complex Finsler manifolds (M-1,F-1) and (M-2,F-2). In this study, we give a characterization of locally conformally flat doubly twisted product complex Finsler manifold. We also obtain a necessary and sufficient condition for a doubly twisted product of two locally conformally flat complex Finsler manifolds to be locally conformally flat.

Automated summary

In this study, the characterization and necessary and sufficient condition for the locally conformally flat property of doubly twisted product complex Finsler manifolds are investigated.