Vanishing theorems for complete Riemannian manifolds with nonnegative scalar curvature

被引：5

作者：

Lin, Hezi ^{[1
,2
]}

机构：

[1] Fujian Normal Univ, Coll Math & Informat, Fuzhou 350108, Fujian, Peoples R China

[2] Fujian Normal Univ, FJKLMAA, Fuzhou 350108, Fujian, Peoples R China

来源：

GEOMETRIAE DEDICATA | 2019年 / 201卷 / 01期

关键词：

Harmonic forms; Vanishing theorems; Betti numbers; Weighted Poincare inequalities; WEIGHTED POINCARE INEQUALITY; HARMONIC FORMS;

D O I：

10.1007/s10711-018-0388-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show several vanishing theorems for harmonic p-forms on compact manifolds, and Lq harmonic p-forms on complete noncompact manifolds with nonnegative scalar curvature, under various pointwise or integral curvature conditions. These conditions involve the positive Yamabe invariant, the weighted Poincare inequality and the pure curvature tensor.

引用

页码：187 / 201

页数：15

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