Demonstratio Mathematica · 2009 · 30 citations · 3 references
Natural SciencesPhysicsGeometryDifferential GeometryLie GroupsMetric GeometryRiemannian GeometrySpacetime GeometryGeodesic Motion On Riemannian ManifoldsHarmonic MapsLorentz GroupLorentzian GeometryRiemannian Metric
In this paper, we consider the biharmonicity conditions for maps between Riemannian manifolds and we characterize non-geodesic biharmonic curve in Heisenberg group Hz which is endowed with left invariant Lorentzian metric. (1.5) R N (PI,P2)PS = [V&,V&]P 3 -V 1)F2] P 3 .
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Lorentzian Geometry of the Heisenberg Group
N. Rahmani, S. Rahmani · Geometriae Dedicata · 2006 · 47 citations