✦ LIBER ✦

Covariant differential operators for densities and the KdV equation as a flow on diffeomorphism groups

✍ Scribed by Wolfgang Scherer

Publisher: Springer
Year: 1989
Tongue: English
Weight: 173 KB
Volume: 17
Category: Article
ISSN: 0377-9017
DOI: 10.1007/bf00420013

No coin nor oath required. For personal study only.

✦ Synopsis

Covariant differential operators of arbitrary order, which are analogues of Hill's operator and act on densities of weights -k/2 (k ~ IN), are constructed and the KdV equation is formulated as a flow on a diffeomorphism group.

AMS subject classifications (1980). 47B38, 35K55.