شماره ركورد كنفرانس :
5263
عنوان مقاله :
CONFORMAL VECTOR FIELDS ON STANDARDSTATICS SPACE-TIME
پديدآورندگان :
Shamkhali Farzaneh shamkhali56@gmail.com Department of Pure Mathematics, Faculty of Sciences, Imam Khomeini International University, Norouzian Blvd., Qazvin , Fasihi-Ramandi Ghodratallah fasihi@sci.ikiu.ac.ir Department of Pure Mathematics, Faculty of Sciences, Imam Khomeini International University, Norouzian Blvd., Qazvin
كليدواژه :
Warped product , $2 , $conformal vector field , parallel vector fields , standard static space , times
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
In this paper, we define $2-$conformal vector fields on Riemannian manifolds and study the geometry of theses vector filed on warped product manifolds as well as on standard static space-time. Conditions on $2-$cinformal vector fields on a warped product manifold to be parallel are derived. We also obtain some results on the curvature of warped product manifolds in terms of $2-$conformal vector fields.
