A generalization of Cayley submanifolds

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dc.creatorGhigi, Alessandro
dc.date2000-02-09
dc.date.accessioned2026-07-07T04:33:39Z
dc.date.available2026-07-07T04:33:39Z
dc.descriptionGiven a Kaehler manifold of complex dimension 4, we consider submanifolds of (real) dimension 4, whose Kaehler angles coincide. We call these submanifolds Cayley. We investigate some of their basic properties, and prove that (a) if the ambient manifold is a Calabi-Yau, the minimal Cayley submanifolds are just the Cayley submanifolds as defined by Harvey and Lawson; (b) if the ambient is a Kaehler-Einstein manifold of non-zero scalar curvature, then minimal Cayley submanifolds have to be either complex or Lagrangian.
dc.description15 pages, LaTeX
dc.identifierhttps://arxiv.org/abs/math/0002065
dc.identifierhttp://arxiv.org/abs/math/0002065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58655
dc.subjectDifferential Geometry
dc.titleA generalization of Cayley submanifolds
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