On interpolating sesqui-harmonic Legendre curves in Sasakian space forms

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Karaca F., Özgür C., De U. C.

International Journal of Geometric Methods in Modern Physics, vol.17, no.1, 2020 (SCI-Expanded, Scopus)

• Publication Type: Article / Article
• Volume: 17 Issue: 1
• Publication Date: 2020
• Doi Number: 10.1142/s021988782050005x
• Journal Name: International Journal of Geometric Methods in Modern Physics
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
• Keywords: Interpolating sesqui-harmonic curve, Legendre curve, Sasakian space form
• Open Archive Collection: AVESIS Open Access Collection
• Yıldız Technical University Affiliated: No

Abstract

We consider interpolating sesqui-harmonic Legendre curves in Sasakian space forms. We find the necessary and sufficient conditions for Legendre curves in Sasakian space forms to be interpolating sesqui-harmonic. Finally, we obtain a proper example for an interpolating sesqui-harmonic Legendre curve in a Sasakian space form.