Duality equations on a 4-manifold of conformal torsion-free connection and some of their solutions for the zero signature

Duality equations on a 4-manifold of conformal torsion-free connection and some of their solutions for the zero signature

On a 4-manifold of conformal torsion-free connection with zero signature (−−++) we found conditions under which the conformal curvature matrix is dual (self-dual or anti-self-dual). These conditions are 5 partial differential equations of the 2nd order on 10 coefficients of the angular metric and 4...

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Bibliographic Details
Main Authors: L. N. Krivonosov, V. A. Lukyanov
Format: Article
Language:English
Published: Samara State Technical University 2019-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
manifold of conformal connection
curvature
torsion
hodge operator
self-duality
anti-self-duality
yang–mills equations
Online Access:http://mi.mathnet.ru/eng/vsgtu1674

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