On R-Complex Finsler spaces with Kropina metric

Abstract

In the present paper, the notion of R-complex Finsler space with Kropina metric is defined. The fundamental tensor fields g_ij and g_ij^-are determined and the determinant and the inverse of these tensor fields are given. Also, some properties of these spaces are studied. A special approach is dedicated to the non-Hermitian R-complex Finsler space with the Kropina metric. Some examples of Hermitian and non-Hermitian R