COMPLETE NONCOMPACT SUBMANIFOLDS OF MANIFOLDS WITH NEGATIVE CURVATURE

被引：0

作者：

Gao, Ya ^{[1
]}

Gao, Yanling ^{[1
]}

Mao, Jing ^{[1
]}

Xie, Zhiqi ^{[2
]}

机构：

[1] Hubei Univ, Fac Math & Stat, Key Lab Appl Math Hubei Prov, Wuhan 430062, Peoples R China

[2] Yulin Univ, Sch Math & Stat, Yulin 719000, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2024年 / 61卷 / 01期

关键词：

L-p harmonic 1-forms; submanifolds; ends; sectional curvature; k-th Ricci curvature; BOUNDED MEAN-CURVATURE; MINIMAL HYPERSURFACES; HARMONIC-MAPPINGS; EIGENVALUE; THEOREMS; INEQUALITIES; GEOMETRY; SOBOLEV;

D O I：

10.4134/JKMS.j230283

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, for an m-dimensional (m >= 5) complete noncompact submanifold M immersed in an n-dimensional (n >= 6) simply connected Riemannian manifold N with negative sectional curvature, under suitable constraints on the squared norm of the second fundamental form of M, the norm of its weighted mean curvature vector | H-f | and the weighted real-valued function f, we can obtain: center dot several one -end theorems for M; center dot two Liouville theorems for harmonic maps from M to complete Riemannian manifolds with nonpositive sectional curvature.

引用

页码：183 / 205

页数：23

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