Vanishing theorem for irreducible symmetric spaces of noncompact type

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dc.creatorLiu, Xusheng
dc.date2006-09-28
dc.date.accessioned2026-07-07T07:25:25Z
dc.date.available2026-07-07T07:25:25Z
dc.descriptionWe prove the following vanishing theorem. Let M be an irreducible symmetric space of noncompact type whose dimension exceeds 2 and $M\ne SO_0(2,2)/SO(2)\tm SO(2).$ Let E be any vector bundle over M, Then any E-valued $L^2$ harmonic 1-form over M vanishes. In particular we get the vanishing theorem for harmonic maps from irreducible symmetric spaces of noncompact type.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/math/0609822
dc.identifierhttp://arxiv.org/abs/math/0609822
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/116708
dc.subjectDifferential Geometry
dc.titleVanishing theorem for irreducible symmetric spaces of noncompact type
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