Hermitian metrics with (anti-)self-dual Riemann tensor

Equations of (anti-)self-duality for the components of the LeviCivita connection of the Hermitian positive definite metric (not for the Riemann tensor) are compiled. With this well-known method, a simpler system of partial differential equations is obtained, which implies the (anti-)self-duality of...

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Bibliographic Details
Main Authors: Leonid Krivonosov, Vyacheslav Luk'yanov
Format: Article
Language:English
Published: Samara State Technical University 2021-12-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Subjects:
Online Access:https://journals.eco-vector.com/1991-8615/article/viewFile/71602/pdf