References
- [1] A. Balmuş, S. Montaldo and C. Oniciuc, On the biharmonicity of pseudo-umbilical and PNMC submanifolds in spheres and their type, Arkiv för Matematik, 51 (2003), 197-221.
- [2] D. E. Blair, Contact manifolds in Riemannian Geometry, Lecture Notes in Math., 509, Springer-Verlag, 1976.
- [3] D. E. Blair, T. Koufogiorgos and B. J. Papantoniou, Contact metric manifolds satisfying a nullity condition, Israel J. Math., 19 (1995), 189-214.
- [4] E. Boeckx, A full classification of contact metric (k, µ)-spaces, Illinois J. Math., 44 (2000), 212-219.
- [5] A. Carriazo, V. M. Molina and M. M. Tripathi, Generalized (k, µ)-space-forms, Mediterranean J. Math., 10 (2013), 475-496.
- [6] B. Y. Chen, Total mean curvature and submanifolds of finite type, Ser. Pure. Math. World Scientific Publishing Co., 1984.
- [7] J. Eells and J. H. Sampson, Harmonic mappings of Riemannian manifolds, American J. Math., 86(1) (1964), 109-160.
- [8] J. Inoguchi, Submanifolds with harmonic mean curvature vector field in contact 3-manifolds, Colloq. Math., 100 (2004), 163-179.
- [9] J. H. Jiang, 2-harmonic maps and their first and second variational formulas, Chin. Ann. Math. Ser. A, 7(4) (1986), 389-402.
- [10] W-J. Lu, On f-Biharmonic maps between Riemannian manifolds, arXiv:1305.5478, (2013).
- [11] Y-L. Ou, f-harmonic morphisms between Riemannian manifolds, Chin. Ann. Math. Ser. B, 35 (2) (2014), 225–236.
- [12] Y-L. Ou, On f-biharmonic maps and f-biharmonic submanifolds, Pacific J. Math., 271 (2) (2014), 461–477.
- [13] S. Ouakkas, R. Nasri and M. Djaa, On the f-harmonic and f-biharmonic maps, JP J. Geom. Topol. 10 (1) (2010), 11–27.
- [14] D. G. Prakasha, S. K. Hui and K. Mirji, On 3-dimensional contact metric generalized (k, µ)-space-forms, Int. J. Math. and Math. Sciences, Vol. 2014, Article ID 797162, 6 pages.
- [15] J. Roth, A note on biharmonic submanifolds of product spaces, J. of Geometry, 104 (2013), 375-381.
- [16] J. Roth and A. Upadhyay, Bihrmonic submanifolds of generalized space forms, Differential Geometry and its Applications, 50 (2017), 88-104.
- [17] J. Roth and A. Upadhyay, f-biharmonic and bi-f-harmonic submanifolds of generalized space forms, arXiv. 1609.08599, (2016).
- [18] M. M. Tripathi, Certain basic inequalities for submanifolds in (k, µ)-spaces, In: Recent advances in Riemannian and Lorentzian geometries (Baltimore, MD,), Contemp. Math., 337 (2003), 187-202.
- [19] K. Yano and M. Kon, Structures on manifolds, World Sci. Publ. Co., Singapore, 1984.