Bochner-Weitzenbock formulas associated with the Rarita-Schwinger operator

被引：13

作者：

Branson, T ^{[1
]}

Hijazi, O

机构：

[1] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

[2] Univ Nancy 1, Inst Elie Cartan, F-54506 Vandoeuvre Les Nancy, France

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2002年 / 13卷 / 02期

基金：

美国国家科学基金会;

关键词：

Rarita-Schwinger operator; spinor; twistor; Weitzenbock formula; Kato inequality; curvature; spectrum;

D O I：

10.1142/S0129167X02001174

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute several identities relating curvature actions to second-order differential operators on twistors and sections of related bundles. Based on these formulas, we establish various estimates and vanishing theorems.

引用

页码：137 / 182

页数：46

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