The Main Theorem for (Anti-)Self-Dual Conformal Torsion-Free Connection on a Four-Dimensional Manifold

In this paper we obtain results that occur on a four-manifold with conformai torsion-free connection for all possible signatures of angular metric. It is proved that three of the four terms of the formula for the decomposition of the basic tensor are equidual, one is anti-dual. Based on this result...

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Veröffentlicht in:	Russian mathematics 2019-02, Vol.63 (2), p.25-34
Hauptverfasser:	Krivonosov, L. N., Luk’yanov, V. A.
Format:	Artikel
Sprache:	eng
Schlagworte:	Curvature Mathematical analysis Mathematics Mathematics and Statistics Signatures Tensors Theorems Torsion
Online-Zugang:	Volltext
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