Estimating the eigenvalues on Quaternionic Kähler Manifolds

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dc.creatorHomma, Yasushi
dc.date2004-05-20
dc.date2005-09-28
dc.date.accessioned2026-07-07T06:19:38Z
dc.date.available2026-07-07T06:19:38Z
dc.descriptionWe study geometric first order differential operators on quaternionic Kähler manifolds. Their principal symbols are related to the enveloping algebra and Casimir elements for $\Sp(1)\Sp(n)$. This observation leads to anti-symmetry of the principal symbols and Bochner-Weitzenböck formulas for operators. As an application, we estimate the first eigenvalues of them.
dc.description32page. minor revision including new observations
dc.identifierhttps://arxiv.org/abs/math/0405384
dc.identifierhttp://arxiv.org/abs/math/0405384
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/95096
dc.subjectDifferential Geometry
dc.titleEstimating the eigenvalues on Quaternionic Kähler Manifolds
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