A representation-theoretical proof of Branson's classification of elliptic generalized gradients

作者：Pilca Mihaela^*

来源：Differential Geometry and its Applications, 2011, 29: S188-S195.

DOI：10.1016/j.difgeo.2011.04.025

• Generalized gradient
• Elliptic differential operator
• Kato constant
• Kato inequality

The purpose of this paper is to present a new proof of Branson's classification (Branson, 1997 [3]), of minimal elliptic sums of generalized gradients. The advantage of this proof is that it is local, being mainly based on representation theory and on the relationship between ellipticity and refined Kato inequalities. This approach is promising for the classification of elliptic generalized gradients of G-structures, for other subgroups G of the special orthogonal group.

• 出版日期2011-8