A Willmore functional for compact surfaces of complex projective plane

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dc.creatorMontiel, Sebastian
dc.creatorUrbano, Francisco
dc.date2000-02-18
dc.date.accessioned2026-07-07T04:33:57Z
dc.date.available2026-07-07T04:33:57Z
dc.descriptionWe propose the study of a conformally invariant functional for surfaces of complex projective plane which is closely related to the classical Willmore functional. We show that minimal surfaces of complex projective plane are critical for this functional and construct some minima for it via the twistors spaces of complex projective plane. Also, we find lower bounds for this functional and for its restriction to the class of Lagrangian surfaces and characterize the complex lines and the Lagrangian totally geodesic surfaces and the Whitney spheres as the only attaining those bounds.
dc.description30 pages
dc.identifierhttps://arxiv.org/abs/math/0002155
dc.identifierhttp://arxiv.org/abs/math/0002155
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58722
dc.subjectDifferential Geometry
dc.subjectPrimary 53A10; Secondary 53A05, 53C42
dc.titleA Willmore functional for compact surfaces of complex projective plane
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