JP Journal of Geometry and Topology
Volume 5, Issue 2, Pages 121 - 140
(July 2005)
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CONSTRUCTION OF NORDEN STRUCTURES ON NEUTRAL 4-MANIFOLDS
A. Bonome (Spain), R. Castro (Spain), L. M. Hervella (Spain) and Y. Matsushita (Japan)
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Abstract: We shall show a way of construction of Norden metrics on a pseudo-Riemannian 4-manifold of neutral signature (+ + – –). As an illustration, by applying the method we exhibit explicitly Norden metrics on Walker 4-manifolds. Since every neutral 4-manifold has a pair of almost complex structures, we show how to construct Norden metrics with respect to these almost complex structures. |
Keywords and phrases: Norden metric, opposite Norden metric, double Norden metric, neutral metric, Walker 4-manifold. |
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