Abstract
In this paper, we extend the notion of generalized Sasakian space form to the semi-Riemannian setting. We consider several interesting cases and we give examples of them all. We also study their structures.
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Acknowledgments
The authors want to express their gratitude to the referee of this paper for his/her very valuable comments which have improved it. Both authors were partially supported by the PAIDI group FQM-327 (Junta de Andalucía, Spain) and the MINECO-FEDER projects MTM2011-22621 and MTM2014-52197-P.
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Communicated by Young Jin Suh.
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Alegre, P., Carriazo, A. Semi-Riemannian Generalized Sasakian Space Forms. Bull. Malays. Math. Sci. Soc. 41, 1–14 (2018). https://doi.org/10.1007/s40840-015-0215-0
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DOI: https://doi.org/10.1007/s40840-015-0215-0
Keywords
- Generalized Sasakian space form
- Almost contact Lorentzian metric manifold
- Para-Sasakian Lorentzian space form
- Indefinite almost contact manifold
- Hyperbolic almost contact space form
- Product manifold
- Warped product
- Complex space form
- Trans-Sasakian structure