On compatible linear connections of two-dimensional generalized Berwald manifolds: a classical approach

Properties of Generalized Berwald Connections

Properties of Generalized Berwald Connections

Recently the present authors introduced a general class of Finsler connections which leads to a smart representation of connection theory in Finsler geometry and yields to a classification of Finsler connections into the three classes. Here the properties of one of these classes namely the Berwald-type connections which contains Berwald and Chern(Rund) connections as a special case is studied. ...

properties of generalized berwald connections

Linear Connections on Fuzzy Manifolds

Linear connections are introduced on a series of noncommutative geometries which have commutative limits. Quasicommutative corrections are calculated. LPTHE Orsay 95/42; ESI Vienna 235 * Laboratoire associé au CNRS URA D0063

On Berwald and Wagner Manifolds

Berwald and Wagner manifolds are two important classes of spaces in Finsler geometry. They are closely related to each other via the conformal change of the metric. After discussing the basic definitions and the elements of the theory we present general methods to construct examples of them.