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Mathematics > Differential Geometry

arXiv:0710.1611 (math)
[Submitted on 8 Oct 2007 (v1), last revised 23 Feb 2008 (this version, v3)]

Title:On Some Geometric Structures Associated to a k-Symplectic Manifold

Authors:Adara M. Blaga, B. Cappelletti Montano
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Abstract: A canonical connection is attached to any k-symplectic manifold. We study the properties of this connection and its geometric applications to k-symplectic manifolds. In particular we prove that, under some natural assumption, any ksymplectic manifold admits an Ehresmann connection, discussing some corollaries of this result, and we find vanishing theorems for characteristic classes on a k-symplectic manifold.
Comments: To appear on J. Phys. A: Math. Theor
Subjects: Differential Geometry (math.DG); Mathematical Physics (math-ph); Symplectic Geometry (math.SG)
MSC classes: 53C12, 53C15, 57R30
Cite as: arXiv:0710.1611 [math.DG]
  (or arXiv:0710.1611v3 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.0710.1611
Journal reference: J. Phys. A: Math. Theor. 41 (2008) 13 pp
Related DOI: https://doi.org/10.1088/1751-8113/41/10/105204

Submission history

From: Beniamino Cappelletti Montano [view email]
[v1] Mon, 8 Oct 2007 18:05:48 UTC (16 KB)
[v2] Tue, 9 Oct 2007 15:24:34 UTC (16 KB)
[v3] Sat, 23 Feb 2008 12:59:41 UTC (16 KB)
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