Biharmonic slant submanifolds in space forms

In this research work, bi-harmonic slant sub-manifolds in space forms have been studied. Bi-harmonic maps are critical points of the bi-energy functional and are of great importance due to both analytical and geometrical characteristics. After the study of Riemannian Manifolds with complex and contact structure and s-space form structure along with slant sub-manifolds theory, some significant developments related to bi-harmonic slant submanifolds in space forms have been established. Manifolds with constant sectional curvature is known as space form. As s-space form is the generalization of complex and contact structure, we get generalized results. Different aspects of results have discussed.