شماره ركورد :
19908
عنوان به زبان ديگر :
CONFORMAL VECTOR FIELDS ON TANGENT BUNDLE OF A RIEMANNIAN MANIFOLD
پديد آورندگان :
HEDAYATIAN S نويسنده , BIDABAD B نويسنده
از صفحه :
531
تا صفحه :
539
تعداد صفحه :
9
چكيده لاتين :
Let M be an n-dimensional Riemannian manifold and TM its tangent bundle. The conformal and fiber preserving vector fields on TM have well-known physical interpretations and have been studied by physicists and geometricians. Here we define a Riemannian or pseudo-Riemannian lift metric 9 on TM , which is in some senses more general than other lift metrics previously defined on TM , and seems to complete these works. Next we study the lift conformal vector fields on (TM,g) and prove among the others that, every complete lift conformal vector field on TM is homothetic, and moreover, every horizontal or vertical lift conformal vector field on TM is a Killing vector.
شماره مدرك :
1203937
لينک به اين مدرک :
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