In this paper, we study complex Landsberg spaces and some of their important subclasses.
The tools of this study are the Chern–Finsler, Berwald, and Rund complex linear …

In this paper, we give a definition of weakly complex Berwald metric and prove that,(i) a
strongly convex weakly Kähler–Finsler metric F on a complex manifold M is a weakly …

Let M be a complex manifold endowed with a strongly pseudoconvex complex Finsler metric
F. In this paper, characterizations of the complex Rund connection, complex Berwald …

We generalize and study the Zermelo navigation problem on Hermitian manifolds in the
presence of a perturbation W determined by a mild complex velocity vector field‖ W (z) …

A characteristic for a complex Randers metric to be a complex Berwald metric is obtained.
The formula of the holomorphic curvature for complex Randers metrics is given. It is shown …

Considering a complex Lagrange space ([24]), in this paper the complex electromagnetic
tensor fields are defined as the sum between the differential of the complex Liouville 1-form …

In this paper we survey projective curvature invariants of Douglas type and use these to give
some generalizations for the notion of a complex Berwald space. Various descriptions of …

In this paper we introduce in study the projectively related complex Finsler metrics. We prove
the complex versions of the Rapcsák's theorem and characterize the weakly Kähler and …

In this paper, we investigate the R-complex Hermitian Finsler spaces, emphasizing the
differences that separate them from the complex Finsler spaces. The tools used in this study …

Nicoleta Aldea1, Monica Purcaru1 Abstract. In this paper we introduce the class of R-
complex Finsler spaces with (α, β)-metrics and study some important exemples: R-complex …