Hamiltonian stability and index of minimal Lagrangian surfaces of the complex projective plane

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dc.creatorUrbano, Francisco
dc.date2005-01-25
dc.date.accessioned2026-07-07T05:16:23Z
dc.date.available2026-07-07T05:16:23Z
dc.descriptionWe show that the Clifford torus and the totally geodesic real projective plane RP^2 in the complex projective plane CP^2 are the unique Hamiltonian stable minimal Lagrangian compact surfaces of CP^2 with genus less than or equal to 4, when the surface is orientable, and with Euler characteristic greater than or equal to -1, when the surface is nonorientable. Also we characterize RP^2 in CP^2 as the least possible index minimal Lagrangian compact nonorientable surface of CP^2.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0501453
dc.identifierhttp://arxiv.org/abs/math/0501453
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73970
dc.subjectDifferential Geometry
dc.subjectSymplectic Geometry
dc.subject53A10; 49Q20
dc.titleHamiltonian stability and index of minimal Lagrangian surfaces of the complex projective plane
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