1 |
R. Schoen and S.-T. Yau, Conformally flat manifolds, Kleinian groups and scalar curvature, Invent. Math. 92 (1988), no. 1, 47-71. https://doi.org/10.1007/BF01393992
DOI
|
2 |
P. Li and J. Wang, Weighted Poincare inequality and rigidity of complete manifolds, Ann. Sci. Ecole Norm. Sup. (4) 39 (2006), no. 6, 921-982. https://doi.org/10.1016/j.ansens.2006.11.001
DOI
|
3 |
N. T. Dung and K. Seo, p-harmonic functions and connectedness at infinity of complete submanifolds in a Riemannian manifold, Ann. Mat. Pura Appl. (4) 196 (2017), no. 4, 1489-1511. https://doi.org/10.1007/s10231-016-0625-0
DOI
|
4 |
P. Li and L.-F. Tam, Harmonic functions and the structure of complete manifolds, J. Differential Geom. 35 (1992), no. 2, 359-383. http://doi.org/10.4310/jdg/1214448079
DOI
|
5 |
F. Duzaar and M. Fuchs, On removable singularities of p-harmonic maps, Ann. Inst. H. Poincare Anal. Non Lineaire 7 (1990), no. 5, 385-405. https://doi.org/10.1016/S0294-1449(16)30283-9
DOI
|
6 |
Y. Han and H. Pan, Lp p-harmonic 1-forms on submanifolds in a Hadamard manifold, J. Geom. Phys. 107 (2016), 79-91. https://doi.org/10.1016/j.geomphys.2016.05.006
DOI
|
7 |
K.-H. Lam, Results on a weighted Poincare inequality of complete manifolds, Trans. Amer. Math. Soc. 362 (2010), no. 10, 5043-5062. https://doi.org/10.1090/S0002-9947-10-04894-4
DOI
|
8 |
H. Lin, On the structure of conformally flat Riemannian manifolds, Nonlinear Anal. 123/124 (2015), 115-125. https://doi.org/10.1016/j.na.2015.05.001
DOI
|
9 |
N. Nakauchi, A Liouville type theorem for p-harmonic maps, Osaka J. Math. 35 (1998), no. 2, 303-312. http://projecteuclid.org/euclid.ojm/1200788071
|
10 |
M. Vieira, Vanishing theorems for L2 harmonic forms on complete Riemannian manifolds, Geom. Dedicata 184 (2016), 175-191. https://doi.org/10.1007/s10711-016-0165-1
DOI
|
11 |
X. Zhang, A note on p-harmonic 1-forms on complete manifolds, Canad. Math. Bull. 44 (2001), no. 3, 376-384. https://doi.org/10.4153/CMB-2001-038-2
DOI
|
12 |
Y. Han, Q. Zhang, and M. Liang, Lp p-harmonic 1-forms on locally conformally flat Riemannian manifolds, Kodai Math. J. 40 (2017), no. 3, 518-536. https://doi.org/10.2996/kmj/1509415230
DOI
|
13 |
H.-D. Cao, Y. Shen, and S. Zhu, The structure of stable minimal hypersurfaces in ℝn+1, Math. Res. Lett. 4 (1997), no. 5, 637-644. https://doi.org/10.4310/MRL.1997.v4.n5.a2
DOI
|
14 |
L.-C. Chang, C.-L. Guo, and C.-J. A. Sung, p-harmonic 1-forms on complete manifolds, Arch. Math. (Basel) 94 (2010), no. 2, 183-192. https://doi.org/10.1007/s00013-009-0079-3
DOI
|
15 |
J.-T. R. Chen and C.-J. A. Sung, Harmonic forms on manifolds with weighted Poincare inequality, Pacific J. Math. 242 (2009), no. 2, 201-214. https://doi.org/10.2140/pjm.2009.242.201
DOI
|
16 |
N. T. Dung and C.-J. A. Sung, Analysis of weighted p-harmonic forms and applications, Internat. J. Math. 30 (2019), no. 11, 1950058, 35 pp. https://doi.org/10.1142/s0129167x19500587
DOI
|
17 |
N. T. Dung and C.-J. A. Sung, Manifolds with a weighted Poincare inequality, Proc. Amer. Math. Soc. 142 (2014), no. 5, 1783-1794. https://doi.org/10.1090/S0002-9939-2014-11971-X
DOI
|
18 |
N. T. Dung and P. T. Tien, Vanishing properties of p-harmonic ℓ-forms on Riemannian manifolds, J. Korean Math. Soc. 55 (2018), no. 5, 1103-1129. https://doi.org/10.4134/JKMS.j170575
DOI
|