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The Lie Algebra of Local Killing Fields - MaRDI portal

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The Lie Algebra of Local Killing Fields

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Publication:6210670

arXiv0808.3740MaRDI QIDQ6210670

Author name not available (Why is that?)

Publication date: 27 August 2008

Abstract: We present an algebraic procedure that finds the Lie algebra of the local Killing fields of a smooth metric. In particular, we determine the number of independent local Killing fields about a given point on the manifold. Spaces of constant curvature and locally symmetric spaces are also discussed. Furthermore, we obtain a complete classification of the Lie algebra of local Killing fields for surfaces in terms of conditions upon the Gauss curvature.





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