Natural SciencesMathematicsGeometryRelativityTopologyDifferential GeometryGeometric TopologyLow-dimensional GeometryMetric GeometryRiemannian GeometrySpacetime GeometryConformal GeometryCurvature TensorsGeometric Structures On ManifoldsLorentzian GeometryRiemannian MetricScalar Curvature
The present paper deals with Lorentzian para-Sasakian (briefly LP-Sasakian) manifolds with conformally flat and quasi conformally flat cur- vature tensor. It is shown that in both cases, the manifold is locally isometric with a unit sphere S n (1). Further it is shown that an LP-Sasakian manifold with R(X,Y ).C = 0 is locally isometric with a unit sphere S n (1).
1
On conformally symmetric spaces
Hoffman Nickerson · Geometriae Dedicata · 1985 · 67 citations