The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying similar documents to “On compatible linear connections of two-dimensional generalized Berwald manifolds: a classical approach”

On the conformal theory of Ichijyō manifolds

Szakál, Sz.

Similarity:

Some special linear connection introduced in the Finsler space by Ichijyō has the property that the curvature tensors under conformal changes remain invariant. Two Ichijyō manifolds ( M , E , ) and ( M , E ¯ , ¯ ) are said to be conformally equivalent if E ¯ = ( exp σ v ) E , σ C ( M ) .It is proved, that in this case, the following assertions are equivalent: 1. σ is constant, 2. h = h ¯ , 3. S = S ¯ , 4. t = t ¯ .It is also proved (when the above conditions are satisfied) that1. If ( M , E , ) is a generalized Berwald manifold, then ( M , E ¯ , ¯ ) is also a generalized Berwald...