Remarks on $η$-Einstein unit tangent bundles

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dc.creatorChai, Y. D.
dc.creatorChun, S. H.
dc.creatorPark, J. H.
dc.creatorSekigawa, K.
dc.date2007-08-10
dc.date.accessioned2026-07-07T08:23:04Z
dc.date.available2026-07-07T08:23:04Z
dc.descriptionWe study the geometric properties of the base manifold for the unit tangent bundle satisfying the $η$-Einstein condition with the standard contact metric structure. One of the main theorems is that the unit tangent bundle of 4-dimensional Einstein manifold, equipped with the canonical contact metric structure, is $η$-Einstein manifold if and only if base manifold is the space of constant sectional curvature 1 or 2.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/0708.1400
dc.identifierhttp://arxiv.org/abs/0708.1400
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135862
dc.subjectDifferential Geometry
dc.subject53C25, 53D10
dc.titleRemarks on $η$-Einstein unit tangent bundles
dc.typetext

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