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From a single Sasakian manifold to a family of Sasakian manifolds

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Abstract

The aim of this paper is to construct a 1-parameter family of Sasakian manifold starting from a single Sasakian manifold. Concrete examples are given.

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References

  • Beldjilali, G., Belkhelfa, M.: Kählerian structures on generalized \({\cal{D}}\)-homothetic warping. J. Geom. Symmetry Phys. 42, 1–13 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  • Bishop, R., ONeill, B., Manifolds of negative curvature: Manifolds of negative curvature. Trans. Am. Math. Soc. 46, 1–49 (1969)

    Article  MathSciNet  Google Scholar 

  • Blair, D.E.: Riemannian geometry of contact and symplectic manifolds, progress in mathematics, vol. 203. Birhauser, Boston (2002)

    Book  MATH  Google Scholar 

  • Blair, D.E.: \({\cal{D}}\)-homothetic warping. Afr. Diaspora J. Math. 14(2), 134–144 (2012)

    MATH  Google Scholar 

  • Boyer, C.P., Galicki, K., Matzeu, P.: On Eta-Einstein Sasakian geometry. Commun. Math. Phys. 262, 177–208 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  • Oubiña, J.A.: New classes of almost contact metric structures. Publ. Math. Debrecen 32, 187193 (1985)

    MathSciNet  Google Scholar 

  • Tanno, S.: The automorphism groups of almost contact Riemannian Manifolds. Tohoku Math. J. 21, 21–38 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  • Yano, K., Kon, M.: Structures on Manifolds, Series in Pure Math., vol. 3. World Sci (1984)

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Acknowledgements

The author would like to thank the referee for his helpful suggestions and his valuable comments which helped to improve the manuscript.

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Authors and Affiliations

  1. Laboratory of Quantum Physics and Mathematical Modeling (LPQ3M), Department of Mathematics, University Mustapha Stambouli Mascara, Mascara, Algeria

    Gherici Beldjilali

  2. Laboratory of Geometry, Analysis, Controle and Applications, Department of Mathematics, University Mustapha Stambouli Mascara, Mascara, Algeria

    Ahmed Mohammed Cherif & Kaddour Zegga

Authors
  1. Gherici Beldjilali
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  2. Ahmed Mohammed Cherif
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  3. Kaddour Zegga
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Correspondence to Gherici Beldjilali.

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Beldjilali, G., Mohammed Cherif, A. & Zegga, K. From a single Sasakian manifold to a family of Sasakian manifolds. Beitr Algebra Geom 60, 445–458 (2019). https://doi.org/10.1007/s13366-018-0428-0

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  • DOI: https://doi.org/10.1007/s13366-018-0428-0

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