# p-Berwald manifolds form the intersection of the class of Douglas manifolds and the class of weakly Berwald manifolds – of two classes of special Finsler manifolds

@inproceedings{Debrecen2009pBerwaldMF, title={p-Berwald manifolds form the intersection of the class of Douglas manifolds and the class of weakly Berwald manifolds – of two classes of special Finsler manifolds}, author={SZILASI Debrecen and Lajos Tam{\'a}ssy and Zolt{\'a}n Szilasi}, year={2009} }

- Published 2009

We introduce a new class of special Finsler manifolds, the class of pBerwald manifolds. P-Berwald manifolds are defined as Finsler manifolds for which the projected Berwald curvature vanishes. We show that an at least 3-dimensional Finsler manifold is a p-Berwald manifold if and only if it is a weakly Berwald Douglas manifold. 2-dimensional p-Berwald manifolds are characterized by means of a differential equation concerning the main scalar. We prove that a p-Berwald manifold is R-quadratic if… CONTINUE READING

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