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Twistor bundle of a neutral Kähler surface
Authors:
- Włodzimierz Jelonek
Abstract
In this paper, we characterize neutral Kähler surfaces in terms of their positive twistor bundle. We prove that an O+,+(2, 2)-oriented four-dimensional neutral semi-Riemannian manifold (M, g) admits a complex structure J with ΩJ ∈ V− M, such that (M, g, J) is a neutral-Kähler manifold if and only if the twistor bundle (Z 1 (M), gc) admits a vertical Killing vector field.
- Record ID
- CUT1e581d9be4fc4361a572f150cf9c2475
- Publication categories
- ;
- Author
- Journal series
- Symmetry, ISSN , e-ISSN 2073-8994, Monthly
- Issue year
- 2022
- Vol
- 14
- No
- 1
- Pages
- [1-7]
- Article number
- 43
- Other elements of collation
- Bibliografia (na s.) - 6-7; Bibliografia (liczba pozycji) - 12; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 14, Iss. 1, Spec. Iss.
- Substantive notes
- Special Issue: Symmetry of Hamiltonian Systems: Classical and Quantum Aspects
- Keywords in English
- neutral Kähler surface, neutral hyperkähler surface, twistor bundle
- ASJC Classification
- ; ; ;
- DOI
- DOI:10.3390/sym14010043 Opening in a new tab
- URL
- https://www.mdpi.com/2073-8994/14/1/43 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 70
- Score source
- journalList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT1e581d9be4fc4361a572f150cf9c2475/
- URN
urn:pkr-prod:CUT1e581d9be4fc4361a572f150cf9c2475
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