Minimal Lagrangian tori in Kahler Einstein manifolds

Simple item page
dc.creatorGoldstein, Edward
dc.date2000-07-22
dc.date.accessioned2026-07-07T04:36:28Z
dc.date.available2026-07-07T04:36:28Z
dc.descriptionIn this paper we use structure preserving torus actions on Kahler-Einstein manifolds to construct minimal Lagrangian submanifolds. Our main result is: Let N^2n be a Kahler-Einstein manifold with positive scalar curvature with an effective T^n-action. Then precisely one regular orbit L of the T-action is a minimal Lagrangian submanifold of N. Moreover there is an (n-1)-torus T^n-1 in T^n and a sequence of non-flat immersed minimal Lagrangian tori L_k in N, invariant under T^n-1 s.t. L_k locally converge to L (in particular the supremum of the sectional curvatures of L_k and the distance between L_k and L go to 0 as k goes to infinity.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/0007135
dc.identifierhttp://arxiv.org/abs/math/0007135
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/59606
dc.subjectDifferential Geometry
dc.subject53XX
dc.titleMinimal Lagrangian tori in Kahler Einstein manifolds
dc.typetext

Files

Collections

arXiv