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Details for article 1 of 4 found articles
| Title: |
Conformally convariant equations on differential forms |
| Author: |
Branson, Thomas P. |
| Appeared in: |
Communications in partial differential equations |
| Paging: | Volume 7 (1982) nr. 4 pages 393-431 |
| Year: |
1982 |
| Contents: |
Let M be a pseudo-Riemannian manifold o f dimension n≧3. A second-order linear differential operator [image omitted] , which is the sum of a variant [image omitted] of the Laplace-Beltrami operator on k-forms (obtained by weighting the d*d and dd* terms differently) and a zeroth order operator depending on t he Ricci tensor of M, has remarkable conformal quasi-invariance properties. Specifically, [image omitted] intertwines two mu1tip1ier representations o f the conformal group of M. The [image omitted] ] are natura1 generalizations of the quasi -invariant shift of the Laplace-Beltrami operator on functions by a multiple of the scalar curvature of M, and the Maxwell operator on “vector potentials “ [image omitted] -forms).. The conformal quasi-invariance of the operator on functions was treated by Orsted in [9]-[11], and in-directly by differential geometers studying the “Yamabe problem” of prescribing the scalar curvature on a compact manifold (see [7] for a bibliography) . It also seems to be known to physicists. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 1 of 4 found articles
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