On the geometry of the diffeomorphism group of the circle

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Abstract

We discuss some of the possibilities of endowing the diffeomorphism group of the circle with Riemannian structures arising from right-invariant metrics.

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Constantin, A., & Kolev, B. (2012). On the geometry of the diffeomorphism group of the circle. In Number Theory, Analysis and Geometry: In Memory of Serge Lang (Vol. 9781461412601, pp. 143–160). Springer US. https://doi.org/10.1007/978-1-4614-1260-1_7

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