The Topological Structure of Conformally Flat Riemannian Manifolds

被引：4

作者：

Han, Yingbo ^{[1
]}

机构：

[1] Xinyang Normal Univ, Sch Math & Stat, Xinyang 464000, Henan, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2018年 / 73卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Harmonic; 1-form; finite index; nonparabolic end; GAP THEOREM; SUBMANIFOLDS; CURVATURE; 1-FORMS;

D O I：

10.1007/s00025-018-0812-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will prove vanishing and finiteness theorems for L-2-harmonic 1-forms on a locally conformally flat Riemannian manifold under the assumptions on the Schrodinger operators involving the squared norm of the traceless Ricci form. From these theorems and the work of Li-Tam, we can obtain some one-end and finite ends results for the locally conformally flat Riemannian manifold.

引用

页数：14

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