1 |
D. Fetcu, C. Oniciuc and H. Rosenberg, Biharmonic submanifolds with parallel mean curvature in Sn × R, J. Geom. Anal. 23(2013), 2158--2176.
DOI
|
2 |
J. A. Oubina, New classes of almost contact metric structures, Publ. Math. Debrecen, 32(1985), 187-193.
|
3 |
P. Baird, A. Fardom and S. Ouakkas, Conformal and semi-conformal biharmonic maps, Ann. Global Anal. Geom., 34(2008), 403-414.
DOI
|
4 |
R. Caddeo, S. Montaldo and P. Piu, On biharmonic maps, Global Differential Geometry : The Mathematical Legacy of Alfred Gray, 286--290, Contemp. Math. 288, Amer. Math. Soc., Providence, RI, 2001.
|
5 |
W. J. Lu, On f-bi-harmonic maps and bi-f-harmonic maps between Riemannian manifolds, Sci. China Math., 58(2015), 1483-1498.
DOI
|
6 |
U. C. De and A. Sarkar, On three dimensional trans-Sasakian manifolds, Extracta Math., 23(2008), 265-277.
|
7 |
D. Fetcu and C. Oniciuc, Explicit formulas for biharmonic submanifolds in Sasakian space forms, Pacific J. Math., 240(2009), 85-107.
DOI
|
8 |
D. Janssens and L. Vanhecke, Almost contact structures and curvature tensors, Kodai Math J., 4(1981), 1-27.
DOI
|
9 |
Y. L. Ou, On f-biharmonic maps and f-biharmonic submanifolds, Pacific J. Math., 271(2014), 467-477.
|
10 |
A. Sarkar and A. Mondal, Cretain curves in trans-Sasakian manifolds, Facta Univ. Ser. Math. Inform., 31(2016), 187-200.
|
11 |
M. A. Akyol and Y. L. Ou, Biharmonic Riemannian submersions, Ann. Mat. Pura Appl., 198(2019), 559-570.
DOI
|
12 |
J. Roth and A. Upadhyay, f-biharmonic submanifolds of generalized space forms, Results Math., 75(2020), Paper No. 20, 25 pp.
DOI
|
13 |
A. Sarkar and D. Biswas, Legendre curves on three-dimensional Heisenberg group, Facta Univ. Ser. Math. Inform., 28(2013), 241-248.
|
14 |
Z. Wang, Y. L. Ou and H. Yang, Biharmonic maps form tori into a 2-sphere Chinese Ann. Math. Ser. B, 39(2018), 861-878.
DOI
|
15 |
D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Birkhauser, 2002.
|
16 |
D. E. Blair and J. A. Oubina, Conformal and related changes of metric on the product of two almost contact metric manifolds, Publ. Mat., 34(1990), 199-207.
DOI
|
17 |
D. Chinea and P. S. Perestelo, Invariant submanifolds of a trans-Sasakian manifold, Publ. Math. Debrecen, 38(1991), 103-109.
|
18 |
U. C. De and M. M. Tripathi, Ricci tensor in 3-dimensional trans-Sasakian manifolds, Kyungpook Math. J., 43(2003), 247-255.
|
19 |
J. Eells and L. Lemaire, Selected topics in harmonic maps, CBMS Regional Conference Series in Mathematics 50, Amer. Math. Soc, 1983.
|
20 |
D. Fetcu, E. Loubeau, S. Montaldo and C. Oniciuc, Biharmonic submanifolds of ℂℙn, Math. Z., 266(2010), 505-531.
DOI
|
21 |
A. Gray and L. M. Hervella, The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl., 123(1980), 35-58.
DOI
|
22 |
Y. L. Ou, f-biharmonic maps and f-biharmonic submanifolds II, J. Math. Anal. Appl., 455(2017), 1285-1296.
DOI
|
23 |
B. E. Loubeau and C. Oniciuc, Constant mean curvature proper-biharmonic surfaces of constant Gaussian curvature in spheres, J. Math. Soc. Japan, 68(2016), 997-1024.
|
24 |
C. Oniciuc and V. Branding, Unique continuation theorem for biharmonic maps, Bull. Lond. Math. Soc., 51(2019), 603-621.
DOI
|
25 |
Y. L. Ou, Some recent progress of biharmonic submanifolds, Contemp. Math. 674, Amer. Math. Soc., Providence, RI, 2016.
|
26 |
F. Karaca and C. Ozgur, f-Biharmonic and Bi-f-harmonic submanifolds of product spaces, Sarajevo J. Math., 13(2017), 115-129.
|
27 |
S. Montaldo and C. Oniciuc, A short survey on biharmonic maps between Riemannian manifolds, Rev. Un. Mat. Argentina, 47(2007), 1-22.
|