شماره ركورد كنفرانس :
1151
عنوان مقاله :
Generalized P-Reducible (a,b) -Metrics with Vanishing S-curvature
عنوان به زبان ديگر :
Generalized P-Reducible (a,b) -Metrics with Vanishing S-curvature
پديدآورندگان :
TAYEBI A نويسنده
كليدواژه :
P-reducible metric , C-reducible metric , S-curvature
عنوان كنفرانس :
دومين همايش ملي رياضيات و كاربردهاي آن
چكيده لاتين :
In this paper, we study one of open problems in Finsler geometry which presented by
Matsumoto-Shimada about the existence of concrete P-reducible Finsler metric which is
not C-reducible. For this aim, we study a class of Finsler metrics called generalized P-
reducible metrics that contains the class of P-reducible metrics. We prove that every gener-
alized P-reducible (a, b¯)-metric with vanishing S-curvature reduces to a Berwald metric or
C-reducible metric. It results that there is not exists any concrete P-reducible (a,b)-metric
with vanishing S-curvature.
شماره مدرك كنفرانس :
4475081