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A Finsler metric of a manifold or vector bundle is defined as a smooth assignment for each base point a norm on each fibre space, and thus the class of Finsler metrics contains Riemannian metrics as a special sub-class. For this reason, Finsler geometry is usually treated as a generalization of Riemannian geometry. In fact, there are many contributions to… (More)

- FINSLER GEOMETRY, TETSUYA NAGANO, TADASHI AIKOU
- 2008

In the present paper, we generalize the notion of statistical structure and its dual connection in Riemannian geometry to Finsler geometry. We shall show that the Berwald connection D of a Finsler manifold is a statistical structure. In particular, as an application of this fact, we shall show that, if the hh-curvature of the Berwald connection D vanishes… (More)

- TADASHI AIKOU
- 2010

In the present paper, we shall prove new characterizations of Berwald spaces and Landsberg spaces. The main idea inthis research is the use of the so-called average Riemannian metric.

- Tadashi Aikou
- Periodica Mathematica Hungarica
- 2004

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