Diffeomorphisms of Curved Manifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages

Scientific paper

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 SDiff$S^{2}$ in
conjunction with our result.

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