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f -BIHARMONIC AND BI-f -HARMONIC SUBMANIFOLDS OF GENERALIZED SPACE FORMS
Julien Roth,Abhitosh Upadhyay +1 more
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TLDR
In this paper, the necessary and sufficient conditions for f-biharmonicity and bi-f-harmonicity of submanifolds in generalized complex and Sasakian space forms were studied.Abstract:
We study f-biharmonic and bi-f-harmonic submanifolds in both generalized complex and Sasakian space forms. We prove necessary and sufficient condition for f-biharmonicity and bi-f-harmonicity in the general case and many particular cases. Some non-existence results are also obtained.read more
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Journal ArticleDOI
TOTAL MEAN CURVATURE AND SUBMANIFOLDS OF FINITE TYPE (World Scientific Series in Pure Mathematics—Volume 1) By Bang-Yen Chen: pp. 352. £15.70. (Published by World Scientific Publishing, distributed by John Wiley & Sons Ltd, 1984.)
Journal ArticleDOI
f-Biminimal submanifolds of generalized space forms
TL;DR: In this article, the authors studied f-biminimal submanifolds in generalized complex space forms and generalized Sasakian space forms, and analyzed their properties in these spaces.
Journal ArticleDOI
f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms
TL;DR: In this article, the authors studied f-biharmonic and bi-f-harmonic submanifolds of generalized (k, µ)-space-forms and obtained a necessary and sufficient condition on a sub-manifold of a generalized space-form to be a biharmony and bi f-harmonicity submannifold.
On some curves in three-dimensional β -Kenmotsu manifolds
TL;DR: In this paper , necessary and sufficient conditions for a Frenet curve to be f - harmonic, f - biharmonic, bi-f -harmonic and f -biminimal in three-dimensional β-Kenmotsu manifolds are examined.
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.
MonographDOI
Selected Topics in Harmonic Maps
James Eells,Luc Lemaire +1 more
TL;DR: In this article, the authors present a bibliography for differential geometric aspects of harmonic maps and problems relating to harmonic maps, as well as a supplementary bibliography with more details.
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.