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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. ISSN 0393-0440.
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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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