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Homogeneous symplectic manifolds with Ricci-type curvature
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UNSPECIFIED (2001) Homogeneous symplectic manifolds with Ricci-type curvature. JOURNAL OF GEOMETRY AND PHYSICS, 38 (2). pp. 140-151.
Research output not available from this repository, contact author.Abstract
We consider invariant symplectic connections del On homogeneous symplectic manifolds (M, omega) with curvature of Ricci type. Such connections are solutions of a variational problem studied by Bourgeois and Cahen. and provide an integrable almost complex structure on the bundle of almost complex structures compatible with the symplectic structure. If M is compact with finite fundamental group then (M, omega) is symplectomorphic to P-n (C) with a multiple of its Kahler form and V is affinely equivalent to the Levi-Civita connection. (C) 2001 Elsevier Science B.V. All rights reserved.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science > QC Physics |
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| Journal or Publication Title: | JOURNAL OF GEOMETRY AND PHYSICS | ||||
| Publisher: | ELSEVIER SCIENCE BV | ||||
| ISSN: | 0393-0440 | ||||
| Official Date: | May 2001 | ||||
| Dates: |
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| Volume: | 38 | ||||
| Number: | 2 | ||||
| Number of Pages: | 12 | ||||
| Page Range: | pp. 140-151 | ||||
| Publication Status: | Published |
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