Characterization of the Killing and homothetic vector fields on Lorentzian pr-waves three-manifolds with recurrent curvature

Parvane Atashpeykar; Ali Haji‐Badali

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Characterization of the Killing and homothetic vector fields on Lorentzian pr-waves three-manifolds with recurrent curvature

Parvane Atashpeykar Ali Haji‐Badali

Year: 2020 Vol: 1 (1)Pages: 84-88

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Abstract

We consider the Lorentzian pr-waves three-manifolds with recurrect curvature. We obtain a full classification of the Killing and homothetic vector fields of these spaces.

Keywords:

Homothetic transformation Curvature Killing vector field Pure mathematics Physics Mathematics Mathematical analysis Classical mechanics Geometry

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Geometry and complex manifolds

Physical Sciences → Mathematics → Geometry and Topology

Geometric and Algebraic Topology

Physical Sciences → Mathematics → Geometry and Topology

Characterization of the Killing and homothetic vector fields on Lorentzian pr-waves three-manifolds with recurrent curvature

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