Minimal submanifolds of Kaehler-Einstein manifolds with equal Kaehler angles

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dc.creatorSalavessa, Isabel M. C.
dc.creatorValli, Giorgio
dc.date2000-02-07
dc.date2000-04-14
dc.date.accessioned2026-07-07T04:33:37Z
dc.date.available2026-07-07T04:33:37Z
dc.descriptionWe consider $F: M \to N$ a minimal oriented compact real 2n-submanifold M, immersed into a Kaehler-Einstein manifold N of complex dimension 2n, and scalar curvature R. We assume that $n \geq 2$ and F has equal Kaehler angles. Our main result is to prove that, if n = 2 and $R \neq 0$, then F is either a complex submanifold or a Lagrangian submanifold. We also prove that, if $n \geq 3$ and F has no complex points, then: (A) If R < 0, then F is Lagrangian; (B) If R = 0, the Kaehler angle must be constant. We also study pluriminimal submanifolds with equal Kaehler angles, and prove that, if they are not complex submanifolds, N must be Ricci-flat and there is a natural parallel homothetic isomorphism between TM and the normal bundle.
dc.description33 pages, plain LaTeX, minor revisions
dc.identifierhttps://arxiv.org/abs/math/0002050
dc.identifierhttp://arxiv.org/abs/math/0002050
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58645
dc.subjectDifferential Geometry
dc.subject53A10; 53C42; 58E20; 53C55; 32C17; 53C15; 58F05
dc.titleMinimal submanifolds of Kaehler-Einstein manifolds with equal Kaehler angles
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