On $\mathcal {C}$-conformal changes of Riemann-Finsler metrics

A new definition for lifts and lowerings is given, linking the different tensor algebras involved in the usual treatment of Finsler manifolds. By means of them, the relation between the different classes of linear connections is made clearer.

Dual connections in Finsler geometry.

Nagano, Tetsuya, Aikou, Tadashi (2008)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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Cauchy-Riemann submanifolds of Kaehlerian Finsler spaces.

Sorin Dragomir (1989)

Collectanea Mathematica

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We study the geometry of the second fundamental form of a Cauchy-Riemann submanifold of a Kaehlerian Finsler space M2n; any totally-real submanifold of M2n with v-flat normal connection is shown to be a Berwald-Cartan space.

Finsler spaces admitting a parallel vector field.

Kitayama, Masashi (1998)

Balkan Journal of Geometry and its Applications (BJGA)

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