Skip to main content
Log in

Harmonicity on some almost contact metric manifolds

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

In this paper we shall study some classes of harmonic maps on Trans-Sasakian manifolds.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Aprodu M., Branzanescu V.,A class of harmonic submersions and minimal submanifolds, I.H.E.S. Paris, (preprint) (1998).

    Google Scholar 

  2. Blair D. E.,Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer-Verlag, (1976).

  3. Chinea D., Gonzales C.,A clasification of Almost Contact Metric Manifolds, Ann. Mat. pura ed appl.,156 (1990), 15–36.

    Article  MATH  Google Scholar 

  4. Dragomir S., Wood J. C.,Sottovarietà minimali ed applicazioni armoniche, Bologna (1989).

  5. Eells J., Lemaire L.,Selected topics in harmonic maps, C.B.M.S. Regional Conf. Series 50, Amer. Math. Society (1983).

  6. Eells J., Lemaire L.,Another report on harmonic maps, Bull. London Math. Society,20 (1988), 385–524.

    Article  MATH  MathSciNet  Google Scholar 

  7. Eells J., Sampson J. H.,Harmonic mappings of Riemannian manifolds, Amer. J. Math.,86 (1964), 109–160.

    Article  MATH  MathSciNet  Google Scholar 

  8. Gherghe C.,Harmonic maps on trans-Sasaki manifolds, Rend. Circ. Mat. Palermo,48 (1999), 477–486.

    Article  MATH  MathSciNet  Google Scholar 

  9. Gherghe C.,Harmonicity on Kenmotsu manifolds, (to appear in Revue Roumanie Math).

  10. Gherghe C., Ianus S., Pastore A. M.,Harmonic maps and morphisms on almost metric contact manifolds, (preprint) (1998).

  11. Ianus S., Pastore A. M.,harmonic maps on contact metric manifolds, Ann. Math. Blaise Pascal,2 (2) (1995), 43–55.

    MATH  MathSciNet  Google Scholar 

  12. Ianus S., Pastore A. M.,Harmonic maps and f-structures with parallelizable kernel, New-Developements in Differential Geometry Proceedings, Budapest 1996 (sd. Szenthe J.) Kluwer Acad. Publ., (1998), 143–154.

  13. Ianus S., Pastore A. M.,Harmonic maps and morphisms on metric f-manifolds with parallelizable kernel, (to appear).

  14. Kenmotsu K.,A class of almost contact Riemannian manifolds, Tohoku Math. J.,24 (1972), 93–103.

    Article  MATH  MathSciNet  Google Scholar 

  15. Oubina A.,New class of almost contact-metric structure, Publ. Math. Debrecen,32 (1985), 187–193.

    MATH  MathSciNet  Google Scholar 

  16. Vaisman I.,Locally conformal Kähler manifolds with parallel Lie form, Rend. Math. Roma,12 (1979), 263–284.

    MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gherghe, C. Harmonicity on some almost contact metric manifolds. Rend. Circ. Mat. Palermo 49, 415–424 (2000). https://doi.org/10.1007/BF02904254

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02904254

Keywords

Navigation