Twistor spaces, conformal changes, and metric connections on the base manifold

Johann Davidov and Oleg Mushkarov

Mathematische Nachrichten, 2025, vol. 298, issue 9, 3049-3060

Abstract: The following problems related to almost complex structures on a twistor space are discussed: (1) when two almost complex structures defined by a morphism of the twistor space and two conformal metrics on the base manifold coincide; (2) when the Atiyah–Hitchin–Singer or Eells–Salamon almost complex structures on the twistor space defined by two metric connections on the base Riemannian manifold coincide.

Date: 2025
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