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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
Journal or Publication Title: JOURNAL OF GEOMETRY AND PHYSICS
Publisher: ELSEVIER SCIENCE BV
ISSN: 0393-0440
Official Date: May 2001
Dates:
DateEvent
May 2001UNSPECIFIED
Volume: 38
Number: 2
Number of Pages: 12
Page Range: pp. 140-151
Publication Status: Published

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