Diffeomorphisms of Curved Manifolds

1994/03/16 by J. S. Apps, Apps, J. S.
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.DG

paper · pdf · doi:10.48550/arxiv.hep-th/9403090

10 pages

arxiv created 1994/03/16 · arxiv updated 2009/11/30

Abstract

We obtain an expression for the curvature of the Lie group SDiff\cal M and use it to derive Lukatskii's formula for the case where \cal M is locally Euclidean. We discuss qualitatively some previous findings for SDiffS² in conjunction with our result.

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