JEDNOSTKA NAUKOWA KATEGORII A+

Generalized P-reducible $(\alpha , \beta )$-metrics with vanishing S-curvature

Tom 114 / 2015

A. Tayebi, H. Sadeghi Annales Polonici Mathematici 114 (2015), 67-79 MSC: 53C60, 53C25. DOI: 10.4064/ap114-1-5

Streszczenie

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 $(\alpha , \beta )$-metric with vanishing S-curvature reduces to a Berwald metric or a C-reducible metric. It follows that there is no concrete P-reducible $(\alpha ,\beta )$-metric with vanishing S-curvature.

Autorzy

  • A. TayebiDepartment of Mathematics
    Faculty of Science
    University of Qom
    Qom, Iran
    e-mail
  • H. SadeghiDepartment of Mathematics
    Faculty of Science
    University of Qom
    Qom, Iran
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek