The Ricci curvature of Diff S1SL(2,ℝ)

M. J. Bowick; A. Lahiri

doi:10.1063/1.527854

The Ricci curvature of Diff S¹SL(2,ℝ)

M. J. Bowick, A. Lahiri

Department of Physics

Research output: Contribution to journal › Article › peer-review

23 Scopus citations

Abstract

Previous calculations of the Ricci curvature for the manifold Diff(S ¹)/S¹ are extended to Diff(S¹)/SL (2,ℝ). These manifolds are distinguished by being coadjoint orbits of Diff(S ¹) which admit compatible symplectic and complex structures, making them Kähler manifolds.

Original language	English (US)
Pages (from-to)	1979-1981
Number of pages	3
Journal	Journal of Mathematical Physics
Volume	29
Issue number	9
DOIs	https://doi.org/10.1063/1.527854
State	Published - 1988

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.527854

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abstract = "Previous calculations of the Ricci curvature for the manifold Diff(S 1)/S1 are extended to Diff(S1)/SL (2,ℝ). These manifolds are distinguished by being coadjoint orbits of Diff(S 1) which admit compatible symplectic and complex structures, making them K{\"a}hler manifolds.",

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The Ricci curvature of Diff S¹SL(2,ℝ)

Abstract

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