✦ LIBER ✦

Global solutions of the constraints equations on open and closed manifolds

✍ Scribed by Yvonne Choquet-Bruhat

Publisher: Springer US
Year: 1974
Tongue: English
Weight: 447 KB
Volume: 5
Category: Article
ISSN: 0001-7701
DOI: 10.1007/bf00758074

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Regarding Lie equations (Section III), Theorem 3 only should be retained since the coercivity condition (4) of Theorem 2 cannot be fulfilled on a compact manifold: indeed, integrating over M the trace of (4) in the metric h yields 0 > ch which is absurd.