CARRON G. L2 Harmonic Forms on Non Compact Manifolds[J/OL]. 2007: arXiv: 0704.3194[math. DG]. https://arXiv.org/abs/0704.3194.
|
CHOI H, SEO K. Lp Harmonic 1-Forms on Minimal Hypersurfaces with Finite Index[J]. J Geom Phys, 2018, 129:125-132. doi: 10.1215/S0012-7094-01-11021-1
|
PALMER B. Stability of Minimal Hypersurfaces[J]. Comment Math Helv, 1991, 66(1):185-188.
|
TANNO S. Lp Harmonic Forms and Stability of Minimal Hypersurfaces[J]. J Math Soc Japan, 1996, 48(4):761-768.
|
CHENG X. Lp Harmonic Forms and Stability of Hypersurfaces with Constant Mean Curvature[J]. Bol Sol Beas Mat, 2000, 31(2):225-239. doi: 10.1007/bf01244246
|
NI L. Gap Theorems for Minimal Submanifolds in Rn+1[J]. Gomm Anal Geom, 2001, 9(3):641-656.
|
CAVALCANTE M P, MIRANDOLA H, VITÓRIO F. Lp Harmonic 1-Forms on Submanifolds with Finite Total Curvature[J]. J Geom Anal, 2014, 24(1):205-222. doi: 10.1007/s12220-012-9334-0
|
ZHU P, FANG S W. A Gap Theorem on Submanifolds with Finite Total Curvature in Spheres[J]. J Math Anal Appl, 2014, 413(1):195-201.
|
ZHU P, FANG S W. Finiteness of Non-Parabolic Ends on Submanifolds in Spheres[J]. Ann Global Anal Geom, 2014, 46(2):187-196.
|
周俞洁, 张泽宇, 王林峰.黎曼流形上p-Laplace算子的Liouville定理[J].西南大学学报(自然科学版), 2017, 39(10):62-68.
|
SEO K. Lp Harmonic 1-Forms and First Eigenvalue of a Stable Minimal Hypersurface[J]. Pacific J Math, 2014, 268(1):205-229.
|
HAN Y B, PAN H. Lp Harmonic 1-Forms on Submanifolds in a Hadamard Manifold[J]. J Geom Phys, 2016, 107:79-91. doi: 10.1016/j.geomphys.2016.05.006
|
马蕾, 刘建成.局部对称空间中常平均曲率超曲面的拼挤定理[J].西南师范大学学报(自然科学版), 2019, 44(2):5-9.
|
SHIOHAMA K, XU H W. The Topological Sphere Theorem for Complete Submanifolds[J]. Compos Math, 1997, 107(2):221-232. doi: 10.1023/a:1000189116072
|
LI P. Lecture Notes on Geometric Analysis[D]. California: University of California, 1996.
|
GALDERBANK D M, GAUDUCHON P, HERZLICH M. Refined Kato Inequalities and Conformal Weights in Riemannian Geometry[J]. J Funct Anal, 2000, 173(1):214-255.
|