From a single Sasakian manifold to a family of Sasakian manifolds

  • Gherici BeldjilaliEmail author
  • Ahmed Mohammed Cherif
  • Kaddour Zegga
Original Paper


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.


Product manifolds Sasakian manifolds Kählerian manifolds 

Mathematics Subject Classification

53C15 53C25 53C55 53D25 



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


  1. Beldjilali, G., Belkhelfa, M.: Kählerian structures on generalized \({\cal{D}}\)-homothetic warping. J. Geom. Symmetry Phys. 42, 1–13 (2016)MathSciNetCrossRefzbMATHGoogle Scholar
  2. Bishop, R., ONeill, B., Manifolds of negative curvature: Manifolds of negative curvature. Trans. Am. Math. Soc. 46, 1–49 (1969)MathSciNetCrossRefGoogle Scholar
  3. Blair, D.E.: Riemannian geometry of contact and symplectic manifolds, progress in mathematics, vol. 203. Birhauser, Boston (2002)CrossRefzbMATHGoogle Scholar
  4. Blair, D.E.: \({\cal{D}}\)-homothetic warping. Afr. Diaspora J. Math. 14(2), 134–144 (2012)zbMATHGoogle Scholar
  5. Boyer, C.P., Galicki, K., Matzeu, P.: On Eta-Einstein Sasakian geometry. Commun. Math. Phys. 262, 177–208 (2006)MathSciNetCrossRefzbMATHGoogle Scholar
  6. Oubiña, J.A.: New classes of almost contact metric structures. Publ. Math. Debrecen 32, 187193 (1985)MathSciNetGoogle Scholar
  7. Tanno, S.: The automorphism groups of almost contact Riemannian Manifolds. Tohoku Math. J. 21, 21–38 (1969)MathSciNetCrossRefzbMATHGoogle Scholar
  8. Yano, K., Kon, M.: Structures on Manifolds, Series in Pure Math., vol. 3. World Sci (1984)Google Scholar

Copyright information

© The Managing Editors 2018

Authors and Affiliations

  1. 1.Laboratory of Quantum Physics and Mathematical Modeling (LPQ3M), Department of MathematicsUniversity Mustapha Stambouli MascaraMascaraAlgeria
  2. 2.Laboratory of Geometry, Analysis, Controle and Applications, Department of MathematicsUniversity Mustapha Stambouli MascaraMascaraAlgeria

Personalised recommendations