A Review on Metric Symmetries Used in Geometry and Physics | Zendy

K. L. Duggal | Zendy

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A Review on Metric Symmetries Used in Geometry and Physics

Author(s) -

K. L. Duggal

Publication year - 2012

Publication title -

isrn geometry

Language(s) - English

Resource type - Journals

eISSN - 2090-6315

pISSN - 2090-6307

DOI - 10.5402/2012/983403

Subject(s) - homothetic transformation , sketch , homogeneous space , mathematical proof , metric (unit) , conformal map , focus (optics) , theoretical physics , mathematics , pure mathematics , characterization (materials science) , geometry , algebra over a field , physics , engineering , algorithm , optics , operations management

This is a review paper of the essential research on metric (Killing, homothetic, and conformal) symmetries of Riemannian, semi-Riemannian, and lightlike manifolds. We focus on the main characterization theorems and exhibit the state of art as it now stands. A sketch of the proofs of the most important results is presented together with sufficient references for related results.

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