Abstract
In this paper we find the formula of connections under which an almost complex structure is covariantly constant. These types of connections on anti-Kähler–Codazzi manifolds are described. Also, twin metric-preserving connections are analyzed for quasi-Kähler manifolds. Finally, anti-Hermitian Chern connections are investigated.
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Salimov, A. On structure-preserving connections. Period Math Hung 77, 69–76 (2018). https://doi.org/10.1007/s10998-018-0237-0
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DOI: https://doi.org/10.1007/s10998-018-0237-0
Keywords
- Almost complex structure
- Semi-Riemannian metric
- Anti-Hermitian structure
- Anti-Kähler–Codazzi manifold
- Anti-Kähler manifold
- Quasi-Kähler manifold
- Chern connection