1 |
A. Arvanitoyeorgos, F. Defever, G. Kaimakamis, V. Papantoniou, Biharmonic Lorentzian hypersurfaces in , Pac. J. Math., 229(2)(2007), 293-305.
DOI
|
2 |
A. Balmus, Biharmonic Maps and Submanifolds Ph. D. thesis, Universita degli Studi di Cagliari, Italy, (2007).
|
3 |
A. Balmus, S. Montaldo, C. Oniciuc, Classification results for biharmonic submanifolds in spheres, Israel. J. Math., 168(2008), 201-220.
DOI
|
4 |
A. Balmus, S. Montaldo, C. Oniciuc, Classification results and new examples of proper biharmonic submanifolds in spheres, Note Mat., 1(1)(2008), 49-61.
|
5 |
A. Balmus, S. Montaldo, C. Oniciuc, Properties of biharmonic submanifolds in spheres, J. Geom. Symmetry Phys., 17(2010), 87-102.
|
6 |
A. Balmus, S. Montaldo, C. Oniciuc, Biharmonic hypersurfaces in 4-dimensional space forms, Math. Nachr., 283(12)(2010), 1696-1705.
DOI
|
7 |
B. Y. Chen, Some open problems and conjectures on submanifolds of finite type, Soochow J. Math., 17(2)(1991), 169-188.
|
8 |
B. Y. Chen, Classification of marginally trapped Lorentzian flat surfaces in and its application to biharmonic surfaces, J. Math. Anal. Appl., 340(2008), 861-875.
DOI
|
9 |
B. Y. Chen, S. Ishikawa, Biharmonic surfaces in pseudo-Euclidean spaces, Mem. Fac. Sci. Kyushu Univ., A 45(1991), 323-347.
|
10 |
B. Y. Chen, S. Ishikawa, Biharmonic pseudo-Riemannian submanifolds in pseudo-Euclidean spaces, Kyushu J. Math., 52(1998), 1-18.
DOI
|
11 |
B. Y. Chen, M. I. Munteanu, Biharmonic ideal hypersurfaces in Euclidean spaces, Differ. Geom. Appl., 31(2013), 1-16.
DOI
|
12 |
Deepika, Ram Shankar Gupta, Biharmonic hypersurfaces in with zero scalar curvature, Afr. Diaspora J. Math., 18(1)(2015), 12-26.
|
13 |
F. Defever, G. Kaimakamis, V. Papantoniou, Biharmonic hypersurfaces of the 4-dimensional semi-Euclidean space , J. Math. Anal. Appl., 315(2006), 276-286.
DOI
|
14 |
I. Dimitric, Quadric representation and submanifolds of finite type, Doctoral thesis, Michigan State University, (1989).
|
15 |
I. Dimitric, Submanifolds of with harmonic mean curvature vector, Bull. Inst. Math. Acad. Sin, 20(1992), 53-65.
|
16 |
J. Eells, J. Sampson, Harmonic mappings of Riemannian manifolds, Amer. J. Math., 86(1964), 109-160.
DOI
|
17 |
K. Akutagawa, S. Maeta, Biharmonic properly immersed submanifolds in Euclidean spaces, Geom. Dedicate, 164(2013), 351-355.
DOI
|
18 |
Ram Shankar Gupta, On biharmonic hypersurfaces in Euclidean space of arbitrary dimension, Glasgow Math. J., 57 (2015), 633-642.
DOI
|
19 |
R. Caddeo, S. Montaldo, C. Oniciuc, Biharmonic submanifolds of , Int. J. Math., 12(8)(2001), 867-876.
DOI
|
20 |
R. Caddeo, S. Montaldo, C. Oniciuc, Biharmonic submanifolds in spheres, Israel J. Math., 130(2002), 109-123.
DOI
|
21 |
Ram Shankar Gupta, Biharmonic hypersurfaces in , An. St. Univ. Al. I. Cuza, (accepted).
|
22 |
T. Hasanis, T. Vlachos, Hypersurfaces in with harmonic mean curvature vector field, Math. Nachr., 172(1995), 145-169.
DOI
|
23 |
Yu Fu, Biharmonic hypersurfaces with three distinct principal curvatures in the Euclidean 5-space, Journal of Geometry and Physics, 75(2014), 113-119.
DOI
|