Journal ArticleDOI
On the Characterizations of f-Biharmonic Legendre Curves in Sasakian Space Forms
Şaban Güvenç,Ö ÖzgurCihan +1 more
TLDR
In this paper, the authors considered f-biharmonic Legendre curves in Sasakian space forms and found Curvature characterizations of these types of curves in four cases.Abstract:
We consider f-biharmonic Legendre curves in Sasakian space forms. We find curvature characterizations of these types of curves in four cases.read more
Citations
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f -BIHARMONIC SUBMANIFOLDS OF GENERALIZED SPACE FORMS
Julien Roth,Abhitosh Upadhyay +1 more
TL;DR: In this paper, the necessary and sufficient condition for f-biharmonicity in generalized complex and Sasakian space forms was studied and some non-existence results were also obtained.
Journal ArticleDOI
Classification of f-Biharmonic Curves in Lorentz–Minkowski Space
Li Du,Juan Zhang +1 more
TL;DR: In this paper, the authors derived the equations for the curves of a Lorentz-Minkowski space to be biharmonic and classified such unit speed curves in the space.
Journal ArticleDOI
On interpolating sesqui-harmonic Legendre curves in Sasakian space forms
TL;DR: In this article, the authors consider interpolating sesqui-harmonic Legendre curves in Sasakian space forms and find the necessary and sufficient conditions for Legendre curve interpolation.
Journal ArticleDOI
r-Almost Newton–Ricci solitons on Legendrian submanifolds of Sasakian space forms
TL;DR: In this paper, the geometrical bearing on Legendrian submanifolds of Sasakian space forms in terms of r-almost Newton-Ricci solitons with the potential function was established.
Journal ArticleDOI
A Note on f-biharmonic Legendre Curves in S-Space Forms
TL;DR: In this paper, the authors studied f-biharmonic Legendre curves in S-space forms and determined their types, i.e., a geodesic, a circle, a helix or a Frenet curve with specific curvature equations.
References
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Book
Riemannian Geometry of Contact and Symplectic Manifolds
TL;DR: In this article, the authors describe a complex geometry model of Symplectic Manifolds with principal S1-bundles and Tangent Sphere Bundles, as well as a negative Xi-sectional Curvature.
2-harmonic maps and their first and second variational formulas
TL;DR: In this paper, the authors study the case k = 2 and derive the first and second variational formulas of the 2-harmonic maps, give nontrivial examples of 2-harmonic maps and give proofs of nonexistence theorems of stable 2-mappings.
Journal Article
A short survey on biharmonic maps between Riemannian manifolds
Stefano Montaldo,Cezar Oniciuc +1 more
TL;DR: In this paper, a natural generalization of harmonic maps and minimal immersions can be given by considering the functionals obtained integrating the square of the norm of the tension field or of the mean curvature vector field, respectively.
Biharmonic maps between Riemannian manifolds
TL;DR: In this paper, the geometric properties of biharmonic curves and surfaces of some Thurston's geometries have been discussed, including the biharmonicity of maps between warped products.