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}
}
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

References

Publications referenced by this paper.
SHOWING 1-10 OF 16 REFERENCES

Some aspects of Differential Theories

J. Szilasi, R. L. Lovas
  • in: Handbook of Global Analysis, Elsevier
  • 2007
VIEW 1 EXCERPT

A Setting for Spray and Finsler Geometry

J. Szilasi
  • in: Handbook of Finsler Geometry, (by P. Antonelli, ed.), Kluwer Academic Publishers, Dordrecht
  • 2003
VIEW 2 EXCERPTS

Finsler Geometry in the 20th Century

M. Matsumoto
  • in: Handbook of Finsler Geometry, (by P. Antonelli, ed.), Kluwer Academic Publishers, Dordrecht
  • 2003

Weakly-Berwald spaces

S. Bácsó, R. Yoshikawa
  • Publicationes Mathematicae Debrecen 61
  • 2002
VIEW 1 EXCERPT

Projection onto the indicatrix bundle of a Finsler manifold

Sz. Vattamány
  • Publicationes Mathematicae Debrecen
  • 2001
VIEW 2 EXCERPTS