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Kähler geometry of the infinite-dimensional homogeneous space M = Diff+(S1)/Rot(S1)

✍ Scribed by A. A. Kirillov; D. V. Yur'ev

Publisher: Springer US
Year: 1988
Tongue: English
Weight: 778 KB
Volume: 21
Category: Article
ISSN: 0016-2663
DOI: 10.1007/bf01077802

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Kähler geometry of the infinite-dimensio

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## Abstract After summarizing some results on the group of diffeomorphisms of the circle Diff(S^1^), we consider the group of diffeomorphisms of the two dimensional torus Diff(S^1^ × S^1^). We give an expression for the bracket of vector fields on this group. With the trigonometric functions sin an