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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2020 Volume 311, Pages 84–105 (Mi tm4115)

This article is cited in 1 paper

Curvature Properties of Twistor Spaces

Johann Davidova, Oleg Mushkarovab

a Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
b South-West University “Neofit Rilski”, 66 Ivan Michailov Str., 2700 Blagoevgrad, Bulgaria

Abstract: We review some results on the Riemannian and almost Hermitian geometry of twistor spaces of oriented Riemannian $4$-manifolds with emphasis on their curvature properties.

Keywords: twistor spaces, almost Hermitian structures, Riemannian and Hermitian curvatures of twistor spaces.

UDC: 514.763.432

MSC: Primary 53C28, Secondary 53C56

Received: January 26, 2020
Revised: March 14, 2020
Accepted: May 27, 2020

DOI: 10.4213/tm4115


 English version:
Proceedings of the Steklov Institute of Mathematics, 2020, 311, 78–97

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© Steklov Math. Inst. of RAS, 2024