On pseudo-Hermitian Einstein spaces

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dc.creatorLeitner, Felipe
dc.date2005-02-14
dc.date.accessioned2026-07-07T05:16:59Z
dc.date.available2026-07-07T05:16:59Z
dc.descriptionWe describe and construct here pseudo-Hermitian structures $θ$ without torsion (i.e. with transversal symmetry) whose Webster-Ricci curvature tensor is a constant multiple of the exterior differential $dθ$. We call these structures pseudo-Hermitian Einstein and our result states that they all can be derived locally from K{ä}hler-Einstein metrics. Moreover, we discuss the corresponding Fefferman metrics of the pseudo-Hermitian Einstein structures. These Fefferman metrics are never Einstein, but they are locally always conformally Einstein.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0502287
dc.identifierhttp://arxiv.org/abs/math/0502287
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74191
dc.subjectDifferential Geometry
dc.subject32V05, 53A30, 53B30, 53C15
dc.titleOn pseudo-Hermitian Einstein spaces
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