2019FilomatOpen access

Generalizations of Killing vector fields in sol space

Zlatko Erjavec

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Abstract

We consider two generalizations of the Killing vector fields in the 3D Sol space. Conformal Killing vector fields are the first generalization, 2-Killing vector fields are the second. We characterize proper conformal Killing vector fields and determine some proper 2-Killing vector fields in Sol space.

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What this paper is about

We consider two generalizations of the Killing vector fields in the 3D Sol space. Conformal Killing vector fields are the first generalization, 2-Killing vector fields are the second. We characterize proper conformal Killing vector fields and determine some proper 2-Killing vector fields in Sol space.

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Available abstract

We consider two generalizations of the Killing vector fields in the 3D Sol space. Conformal Killing vector fields are the first generalization, 2-Killing vector fields are the second. We characterize proper conformal Killing vector fields and determine some proper 2-Killing vector fields in Sol space.

Key concepts: Killing vector field, Vector field, Conformal map, Mathematics, Complex lamellar vector field, Vector (molecular biology), Generalization, Vector potential

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