Bochner-Weitzenböck formulas and curvature actions on Riemannian manifolds

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dc.creatorHomma, Yasushi
dc.date2003-07-02
dc.date.accessioned2026-07-07T04:59:21Z
dc.date.available2026-07-07T04:59:21Z
dc.descriptionGradients are natural first order differential operators depending on Riemannian metrics. The principal symbols of them are related to the enveloping algebra and higher Casimir elements. We give certain relations in the enveloping algebra, which induce not only identities for higher Casimir elements but also all Bochner-Weitzenböck formulas for gradients. As applications, we give some vanishing theorems.
dc.descriptionThis paper is a new version of math.DG/0007052, containing new results
dc.identifierhttps://arxiv.org/abs/math/0307022
dc.identifierhttp://arxiv.org/abs/math/0307022
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67949
dc.subjectDifferential Geometry
dc.subjectRepresentation Theory
dc.subject53B20;58J60;17B35
dc.titleBochner-Weitzenböck formulas and curvature actions on Riemannian manifolds
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