Research Article

A Note on Generalized Sasakian Space Forms with Interpolating Sesqui-Harmonic Legendre Curves

Volume: 8 Number: 1 March 20, 2020
EN

A Note on Generalized Sasakian Space Forms with Interpolating Sesqui-Harmonic Legendre Curves

Abstract

We classify the curvature of interpolating sesqui-harmonic Legendre curves in generalized Sasakian space forms. We investigate the necessary and sufficient conditions for these types of curves in nine cases to be interpolating sesqui-harmonic.

Keywords

Generalized Sasakian space form,, Legendre curve,Interpolating sesqui-harmonic curves

References

  1. Alegre, P., Blair, D.E., Carriazo, A., Generalized Sasakian space forms, Israel J. of Math., 141, 157-183 (2004).
  2. Alegre, P., Carriazo, A., Structures on generalized Sasakian space forms, Differ. Geom. Appl., 26(6), 656-666 (2008)
  3. Blair, DE., Riemannian Geometry of Contact and Symplectic Manifolds, Boston, Birkhauser, (2002).
  4. Blair, D.E., The theory of quasi-Sasakian structures, J. Differ. Geom., 1, 331-345 (1967)
  5. Branding, V., On interpolating sesqui-harmonic maps between Riemannian manifolds, J. Geom. Anal. (2019).
  6. Branding, V., Some analytic results on interpolating sesqui-harmonic maps, arXiv preprint arXiv:1907.04167 (2019).
  7. Eells, J. Jr., Sampson, J. H., Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86: 109-160 (1964).
  8. Jiang, GY., 2-Harmonic maps and their first and second variational formulas, Chinese Ann. Math. Ser. A, 7, 389-402 (1986).
  9. Kenmotsu, K., A class of almost contact Riemannian manifolds, Tohoku Math. J., 24, 93-103 (1972).
  10. Karaca, F., Ozgür, C., De, U. C., On Interpolating Sesqui-Harmonic Legendre Curves inSasakian Space Forms, International Journal of Geometric Methods in Modern Physics, in press (2019).
APA
Karaca, F. (2020). A Note on Generalized Sasakian Space Forms with Interpolating Sesqui-Harmonic Legendre Curves. Mathematical Sciences and Applications E-Notes, 8(1), 78-90. https://doi.org/10.36753/mathenot.656850
AMA
1.Karaca F. A Note on Generalized Sasakian Space Forms with Interpolating Sesqui-Harmonic Legendre Curves. Math. Sci. Appl. E-Notes. 2020;8(1):78-90. doi:10.36753/mathenot.656850
Chicago
Karaca, Fatma. 2020. “A Note on Generalized Sasakian Space Forms With Interpolating Sesqui-Harmonic Legendre Curves”. Mathematical Sciences and Applications E-Notes 8 (1): 78-90. https://doi.org/10.36753/mathenot.656850.
EndNote
Karaca F (March 1, 2020) A Note on Generalized Sasakian Space Forms with Interpolating Sesqui-Harmonic Legendre Curves. Mathematical Sciences and Applications E-Notes 8 1 78–90.
IEEE
[1]F. Karaca, “A Note on Generalized Sasakian Space Forms with Interpolating Sesqui-Harmonic Legendre Curves”, Math. Sci. Appl. E-Notes, vol. 8, no. 1, pp. 78–90, Mar. 2020, doi: 10.36753/mathenot.656850.
ISNAD
Karaca, Fatma. “A Note on Generalized Sasakian Space Forms With Interpolating Sesqui-Harmonic Legendre Curves”. Mathematical Sciences and Applications E-Notes 8/1 (March 1, 2020): 78-90. https://doi.org/10.36753/mathenot.656850.
JAMA
1.Karaca F. A Note on Generalized Sasakian Space Forms with Interpolating Sesqui-Harmonic Legendre Curves. Math. Sci. Appl. E-Notes. 2020;8:78–90.
MLA
Karaca, Fatma. “A Note on Generalized Sasakian Space Forms With Interpolating Sesqui-Harmonic Legendre Curves”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, Mar. 2020, pp. 78-90, doi:10.36753/mathenot.656850.
Vancouver
1.Fatma Karaca. A Note on Generalized Sasakian Space Forms with Interpolating Sesqui-Harmonic Legendre Curves. Math. Sci. Appl. E-Notes. 2020 Mar. 1;8(1):78-90. doi:10.36753/mathenot.656850