Specificity of Petrov Classification of (Anti-)Self-Dual Zero Signature Metrics-Reference-Cited by-同舟云学术

Specificity of Petrov Classification of (Anti-)Self-Dual Zero Signature Metrics

Published:2020-09 Issue:9 Volume:64 Page:50-60
ISSN:1066-369X
Container-title:Russian Mathematics
language:en
Short-container-title:Russ Math.

Author:

Krivonosov L. N.,Luk’yanov V. A.

Publisher

Allerton Press

Subject

General Mathematics

Link

https://link.springer.com/content/pdf/10.3103/S1066369X20090054.pdf

Reference10 articles.

1. Atiyah, M.F., Hitchin, N.J., Singer, I.M. “Self-duality in four-dimensional Riemannian geometry”, Proc. Roy. Soc. London Ser. A 362, 425–461 (1978).

2. Krivonosov, L.N., Luk'yanov, V.A. “The main theorem for (anti-)self-dual conformal torsion-free connection on a four-dimensional manifold”, Russian Mathematics 63, 25–34 (2019).

3. Sucheta Koshti, Naresh Dadhich. “The general self-dual solution of the Einstein equations” (in: arXiv:gr-qc/9409046 (1994)).

4. Krivonosov, L.N., Luk'yanov, V.A. “Duality equations on a 4-manifold of conformal torsion-free connection and some of their solutions for the zero signature”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki 23 (2), 207–228 (2019) [in Russian].

5. Petrov, A.Z. Einstein spaces (Gos. izd. fiz.-mat. lit., Moscow, 1961) [in Russian].

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