Generalized P-reducible (α,β)-metrics with vanishing S-curvature

• Autorzy: A. Tayebi , H. Sadeghi
• Języki publikacji: EN

Abstrakty

EN

We study one of the open problems in Finsler geometry presented by Matsumoto-Shimada in 1977, about the existence of a concrete P-reducible metric, i.e. one which is not C-reducible. In order to do this, we study a class of Finsler metrics, called generalized P-reducible metrics, which contains the class of P-reducible metrics. We prove that every generalized P-reducible (α,β)-metric with vanishing S-curvature reduces to a Berwald metric or a C-reducible metric. It follows that there is no concrete P-reducible (α,β)-metric with vanishing S-curvature.

Kategorie tematyczne

• 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.)
• 53C60: Finsler spaces and generalizations (areal metrics)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 114
• Numer: 1
• Strony: 67-79

Daty

wydano

2015

Twórcy

autor

A. Tayebi

• Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran

autor

H. Sadeghi

• Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran

Identyfikatory

DOI

10.4064/ap114-1-5