Walker manifold

This paper is concerned with almost para-complex structures on Walker 4-manifolds. For these structures, we study some problems of Kahler manifolds. We also give an example of a flat almost para-complex manifold, which consists of a nonintegrable almost para-complex structure on Walker 4-manifolds.

10p danhdanh27 07-01-2019 27 2   Download

We deal with the harmonicity of quadratic maps defined on R 4 (endowed with a Walker metric q ) to the n-dimensional semi-Euclidean space of index r , and then between local charts of two 4-dimensional Walker manifolds. We obtain here the necessary and sufficient conditions under which these maps are harmonic, horizontally weakly conformal, or harmonic morphisms with respect to q.

16p danhdanh27 07-01-2019 22 3   Download