A Lie transformation group attached to a second order elliptic operator (Q1965916)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A Lie transformation group attached to a second order elliptic operator |
scientific article; zbMATH DE number 1409631
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A Lie transformation group attached to a second order elliptic operator |
scientific article; zbMATH DE number 1409631 |
Statements
A Lie transformation group attached to a second order elliptic operator (English)
0 references
2 March 2000
0 references
It is shown that the group of transformations on a compact \(C^\infty\)-manifold that preserve the sheave of function annihilated by a given second order elliptic differential operator is a Lie-transformation group under the compact-open topology. This is achieved using the Bochner-Montgomery theorem [\textit{S. Bochner} and \textit{D. Montgomery}, Ann. Math., II. Ser. 47, 639-653 (1946; Zbl 0061.04407)].
0 references
Lie transformation groups
0 references
elliptic operators
0 references
