5 Results Found

The object of the present paper was to study biharmonic maps on f-Kenmotsu manifolds and f-Kenmotsu manifolds with the Schouten–van Kampen connection. With the help of this connection, our results provided important insights related to harmonic...

f-biharmonic maps are generalizations of harmonic maps and biharmonic maps. In this paper, we give some descriptions of f-biharmonic curves in a space form. We also obtain a complete classification of proper f-biharmonic isometric immersions of a dev...

We first study the f-biharmonicity of totally umbilical hypersurfaces in a Riemannian manifold of dimension $n\ge 3$ and prove that any totally umbilical proper f-biharmonic hypersurface without boundaries in a nonpositively curved manifold must be non...

In this paper, we study biharmonic identity maps between Euclidean spaces and warped product spaces of the form ${\mathbb{R}}^r{\times }_{f^2}{\mathbb{R}}^{n-r}$. Our main results characterize both orientations of the identity map in terms of partial differential equations: For...

X-Ray Image Intensifier (XRII) suffers from serve distortion in C-arm CT imaging system. To overcome the challenging problem, this paper proposes a novel XRII correction based on the Biharmonic Spline Surface Interpolation (BSSI) framework. In our s...