Twisted Dirac operators and generalized gradients

被引：5
|
作者：
Homma, Yasushi [1 ]
机构：
[1] Waseda Univ, Sch Sci & Engn, Dept Math, Shinjuku Ku, 3-4-1 Ohkubo, Tokyo 1698555, Japan
来源：
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2016年 / 50卷 / 02期
关键词：
Dirac operator; Weitzenbock formulas; Generalized gradient; Lichnerowicz Laplacian; QUATERNIONIC KAHLER-MANIFOLDS; RIEMANNIAN-MANIFOLDS; KILLING FORMS; REPRESENTATIONS; ROTATION;
D O I：
10.1007/s10455-016-9503-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
On Riemannian or spin manifolds, there are geometric first order differential operators called generalized gradients. In this article, we prove that the Dirac operator twisted with an associated bundle is a linear combination of some generalized gradients. This observation allows us to find all the homomorphism type Weitzenbock formulas. We also give some applications.
引用
收藏
页码：101 / 127
页数：27
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