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Journals / Fundamentals of Contemporary Mathematical Sciences / 2022 / Cilt: 3 Sayı: 2

On Bi-f-Harmonic Legendre Curves in Sasakian Space Forms

Şerife Nur BOZDAĞ
Pages
132–145
Publication Date
2022-07-28
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We investigate necessary and sufficient conditions for a Legendre curve to be bi-f -harmonic in various cases.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we consider bi-f -harmonic Legendre curves in Sasakian space forms.
📊
Key Findings & Data:In this study, we consider bi-f -harmonic Legendre curves in Sasakian space forms.
💡
Conclusion & Impact:We investigate necessary and sufficient conditions for a Legendre curve to be bi-f -harmonic in various cases.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bi-$f$-harmonic Curves · Legendre Curves · Sasakian Space Forms

Abstract

In this study, we consider bi-f -harmonic Legendre curves in Sasakian space forms. We investigate necessary and sufficient conditions for a Legendre curve to be bi-f -harmonic in various cases.

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Cite This Article

BOZDAĞ, Ş. N. (2022). On Bi-f-Harmonic Legendre Curves in Sasakian Space Forms. Fundamentals of Contemporary Mathematical Sciences, Cilt: 3 Sayı: 2, 132–145. https://ajindex.com/articles/905756

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References (13)

  1. Baird P., Wood J.C., Harmonic Morphisms between Riemannain Manifolds, Oxford Sciences Publications, 2003.
  2. Blair D.E., Riemannian Geometry of Contact and Symplectic Manifolds, Birkhauser, 2002.
  3. Eells J., Sampson J.H., Harmonic mappings of Riemannian manifolds, American Journal of Mathematics, 86, 109-160, 1964.
  4. Fetcu D., Biharmonic Legendre curves in Sasakian space forms, Journal of Korean Mathematical Society, 45, 393-404, 2008.
  5. Fetcu D., Oniciuc C., Explicit formulas for biharmonic submanifolds in Sasakian space forms, Pacific Journal of Mathematics, 240, 85-107, 2009.
  6. Güvenç Ş., A note on f-biharmonic Legendre curves in S-space forms, International Electronic Journal of Geometry, 12(2), 260-267, 2019.
  7. Güvenç Ş., Özgür C., On the characterizations of f-biharmonic Legendre Curves in Sasakian space forms, Filomat, 31(3), 639-648, 2017. Maeta S., k -harmonic maps into a Riemannian manifold with constant sectional curvature, Proceedings of the American Mathematical Society, 140, 1835-1847, 2012.
  8. Ouakkas S., Nasri R., Djaa M., On the f-harmonic and f-biharmonic maps, JP Journal of Geometry and Topology, 10(1), 11-27, 2010.
  9. Özgür C., Güvenç Ş., On some classes of biharmonic Legendre curves in generalized Sasakian space forms, Collectanea Mathematica, 65, 203-218, 2014.
  10. Özgür C., Güvenç Ş., On biharmonic Legendre curves in S-space forms, Turkish Journal of Mathematics, 38, 454-461, 2014.
  11. Perktaş S.Y., Blaga A.M., Erdoğan F.E., Acet B.E., Bi-f-harmonic curves and hypersurfaces, Filomat, 33(16), 5167-5180, 2019.
  12. Yano K., Kon M., Structures on Manifolds: Series in Pure Mathematics, World Scientific Publishing Co., 1984.
  13. Zhao C.L., Lu W.J., Bi-f-harmonic map equations on singly warped product manifolds, Applied Mathematics-A Journal of Chinese Universities, 30(1), 111-126, 2015.