[1] |
EELLS J, SAMPSON J. H. Harmonic mappings of Riemannian manifolds[J]. Amer. J. Math., 1964, 86: 109-160.
|
[2] |
JIANG G Y. 2-Harmonic maps and their first and second variational formulas[J]. Chinese Ann. Math. Ser. A(7), 1986, 4: 389-402.
|
[3] |
JIANG G Y. 2-Harmonic isometric immersion between Riemannian manifolds[J]. Chinese Ann. Math. Ser. A(7), 1986, 2: 130-144.
|
[4] |
BALMU??塁 A, MONTALDO S, ONICIUC C. Properties of biharmonic submanifolds in spheres[J]. J. Geom. Symmetry Phys., 2010, 17: 87-102.
|
[5] |
BALMU??塁 A, MONTALDO S, ONICIUC C. Classification results and new examples of proper biharmonic submanifolds in spheres[J]. Note Mat., 2008, 28: 49-61.
|
[6] |
BALMU??塁 A, MONTALDO S, ONICIUC C. Biharmonic hpersurfaces in 4-dimensional space forms[J]. Math. Nachr., 2010, 283: 1696-1705.
|
[7] |
BALMU??塁 A, MONTALDO S, ONICIUC C. Classification results for biharmonic submanifolds in spheres[J]. Israel J. Math., 2008, 168, 201-220.
|
[8] |
NAKAUCHI N, URAKAWA H. Biharmonic hpersurfaces in a Riemannian manifold with nonpositive Ricci curvature[J]. Ann. Glob. Anal. Geom., 2011, 40, 125-131.
|
[9] |
WANG X F, WU L. Proper biharmonic submanifolds in a sphere[J]. Acta Math. Sin. (Engl. Ser)., 2012, 28: 205-218.
|
[10] |
CADDEO R, MONTALDO S, ONICIUSC S. Biharmonic submanifolds in spheres[J]. Isreal J. Math., 2002, 130: 109-123.
|
[11] |
ZHANG W. New examples of biharmonic submanifolds in CPn and S2n+1[J]. An. Stiint. Univ. Al. I. Cuza Iasi Mat(N.S.), 2011, 57: 207-218.
|
[12] |
SASAHARA T. Biharmonic Lagrangian surfaces of constant mean curvature in complex space forms[J]. Glasg. Math. J., 2007, 49: 497-507.
|
[13] |
VRANCKEN L. Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space froms[J]. Proc. Amer. Math. Soc., 2002, 130: 1459-1466.
|
[14] |
FETCU D, LOUBEAU E, MONTALDO S, et al. Biharmonic submanifolds of CPn[J]. Z. Math., 2010, 266: 505-531.
|
[15] |
FETCU D. ONICIUC C. Explicit formulas for biharmonic submanifolds in Sasakian space forms[J]. Pacific J. Math., 2009, 24: 85-107.
|
[16] |
OU Y L, WANG Z P. Constant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries[J]. J. Geom. Phys., 2006, 228: 185-199.
|
[17] |
ABRESH U, ROSENBER H. The Hopf differential for constant mean curvature surfaces in S2×R and H2×R[J]. Acta Math., 2004, 193: 141-174.
|
[18] |
ABRESH U, ROSENBER H. Generalized Hopf differentials[J]. Mat. Contemp., 2005, 28: 1-28.
|
[19] |
ALENCAR H, DO CARMO M, TRIBUZY R. A Hopf theorem for ambient spaces of dimensions higher than three[J]. J. Differential Geom., 2010, 84: 1-17.
|
[20] |
FETCU D, ONICIUC C, ROSENBEG H. Biharmonic submanifolds with parallel mean curvature in Sn× R[J]. J. Geom. Anal., 2013, 23: 2158-2176.
|
[21] |
ROTH J. A note on biharmonic submanifolds of product spaces[J]. J. Geom., 2013, 104: 375C-381.
|
[22] |
DANIEL B. Isometric immersions into SnR and Hn×R and applications to minimal surfaces[J]. Trans. Amer. Math. Soc., 2004, 361: 6255-6282.
|
[23] |
DILLEN F, FASTENAKELS J, DER VEKEN VAN J. Surfaces inS2×R with a canonical principal direction[J]. Ann. lobal Anal. Eom., 2009, 35: 381-395.
|
[24] |
Dillen F., Munteanu M.,: Constant angle surfaces inH2×R[J]. Bull. Braz. Math. Soc. (NS), 2009, 40: 85-97.
|
[25] |
LI A M, LI J M. An instrinsic rigidity theorem for minimal submanifolds in a sphere[J]. Arch. Math. (Basel), 1992, 58: 582-594.
|
[1] |
EELLS J, SAMPSON J. H. Harmonic mappings of Riemannian manifolds[J]. Amer. J. Math., 1964, 86: 109-160.
|
[2] |
JIANG G Y. 2-Harmonic maps and their first and second variational formulas[J]. Chinese Ann. Math. Ser. A(7), 1986, 4: 389-402.
|
[3] |
JIANG G Y. 2-Harmonic isometric immersion between Riemannian manifolds[J]. Chinese Ann. Math. Ser. A(7), 1986, 2: 130-144.
|
[4] |
BALMU??塁 A, MONTALDO S, ONICIUC C. Properties of biharmonic submanifolds in spheres[J]. J. Geom. Symmetry Phys., 2010, 17: 87-102.
|
[5] |
BALMU??塁 A, MONTALDO S, ONICIUC C. Classification results and new examples of proper biharmonic submanifolds in spheres[J]. Note Mat., 2008, 28: 49-61.
|
[6] |
BALMU??塁 A, MONTALDO S, ONICIUC C. Biharmonic hpersurfaces in 4-dimensional space forms[J]. Math. Nachr., 2010, 283: 1696-1705.
|
[7] |
BALMU??塁 A, MONTALDO S, ONICIUC C. Classification results for biharmonic submanifolds in spheres[J]. Israel J. Math., 2008, 168, 201-220.
|
[8] |
NAKAUCHI N, URAKAWA H. Biharmonic hpersurfaces in a Riemannian manifold with nonpositive Ricci curvature[J]. Ann. Glob. Anal. Geom., 2011, 40, 125-131.
|
[9] |
WANG X F, WU L. Proper biharmonic submanifolds in a sphere[J]. Acta Math. Sin. (Engl. Ser)., 2012, 28: 205-218.
|
[10] |
CADDEO R, MONTALDO S, ONICIUSC S. Biharmonic submanifolds in spheres[J]. Isreal J. Math., 2002, 130: 109-123.
|
[11] |
ZHANG W. New examples of biharmonic submanifolds in CPn and S2n+1[J]. An. Stiint. Univ. Al. I. Cuza Iasi Mat(N.S.), 2011, 57: 207-218.
|
[12] |
SASAHARA T. Biharmonic Lagrangian surfaces of constant mean curvature in complex space forms[J]. Glasg. Math. J., 2007, 49: 497-507.
|
[13] |
VRANCKEN L. Minimal Lagrangian submanifolds with constant sectional curvature in indefinite complex space froms[J]. Proc. Amer. Math. Soc., 2002, 130: 1459-1466.
|
[14] |
FETCU D, LOUBEAU E, MONTALDO S, et al. Biharmonic submanifolds of CPn[J]. Z. Math., 2010, 266: 505-531.
|
[15] |
FETCU D. ONICIUC C. Explicit formulas for biharmonic submanifolds in Sasakian space forms[J]. Pacific J. Math., 2009, 24: 85-107.
|
[16] |
OU Y L, WANG Z P. Constant mean curvature and totally umbilical biharmonic surfaces in 3-dimensional geometries[J]. J. Geom. Phys., 2006, 228: 185-199.
|
[17] |
ABRESH U, ROSENBER H. The Hopf differential for constant mean curvature surfaces in S2×R and H2×R[J]. Acta Math., 2004, 193: 141-174.
|
[18] |
ABRESH U, ROSENBER H. Generalized Hopf differentials[J]. Mat. Contemp., 2005, 28: 1-28.
|
[19] |
ALENCAR H, DO CARMO M, TRIBUZY R. A Hopf theorem for ambient spaces of dimensions higher than three[J]. J. Differential Geom., 2010, 84: 1-17.
|
[20] |
FETCU D, ONICIUC C, ROSENBEG H. Biharmonic submanifolds with parallel mean curvature in Sn× R[J]. J. Geom. Anal., 2013, 23: 2158-2176.
|
[21] |
ROTH J. A note on biharmonic submanifolds of product spaces[J]. J. Geom., 2013, 104: 375C-381.
|
[22] |
DANIEL B. Isometric immersions into SnR and Hn×R and applications to minimal surfaces[J]. Trans. Amer. Math. Soc., 2004, 361: 6255-6282.
|
[23] |
DILLEN F, FASTENAKELS J, DER VEKEN VAN J. Surfaces inS2×R with a canonical principal direction[J]. Ann. lobal Anal. Eom., 2009, 35: 381-395.
|
[24] |
Dillen F., Munteanu M.,: Constant angle surfaces inH2×R[J]. Bull. Braz. Math. Soc. (NS), 2009, 40: 85-97.
|
[25] |
LI A M, LI J M. An instrinsic rigidity theorem for minimal submanifolds in a sphere[J]. Arch. Math. (Basel), 1992, 58: 582-594.
|