Krivonosov, L. N.; Luk’yanov, V. A. (Anti-)self-dual Einsteinian metrics of zero signature, their Petrov classes and connection with Kähler and para-Kähler structures. (English. Russian original) Zbl 1515.53020 Russ. Math. 66, No. 9, 33-45 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 9, 39-53 (2022). Reviewer: Zdeněk Dušek (České Budějovice) MSC: 53B35 53C25 53C55 32Q20 PDFBibTeX XMLCite \textit{L. N. Krivonosov} and \textit{V. A. Luk'yanov}, Russ. Math. 66, No. 9, 33--45 (2022; Zbl 1515.53020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2022, No. 9, 39--53 (2022) Full Text: DOI
Krivonosov, Leonid Nikolaevich; Luk’yanov, Vyacheslav Anatol’evich Hermitian metrics with (anti-)self-dual Riemann tensor. (Russian. English summary) Zbl 1499.53092 Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 25, No. 4, 616-633 (2021). MSC: 53B30 58A14 53C18 53C55 PDFBibTeX XMLCite \textit{L. N. Krivonosov} and \textit{V. A. Luk'yanov}, Vestn. Samar. Gos. Tekh. Univ., Ser. Fiz.-Mat. Nauki 25, No. 4, 616--633 (2021; Zbl 1499.53092) Full Text: DOI MNR
Krivonosov, L. N.; Luk’yanov, V. A. The main theorem for (anti-)self-dual conformal torsion-free connection on a four-dimensional manifold. (English. Russian original) Zbl 1429.37020 Russ. Math. 63, No. 2, 25-34 (2019); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 2, 29-38 (2019). MSC: 37D40 53E10 53E30 35Q76 83C22 PDFBibTeX XMLCite \textit{L. N. Krivonosov} and \textit{V. A. Luk'yanov}, Russ. Math. 63, No. 2, 25--34 (2019; Zbl 1429.37020); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 2019, No. 2, 29--38 (2019) Full Text: DOI