Chen's inequality in Lagrangian case

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dc.creatorOprea, Teodor
dc.date2005-11-03
dc.date.accessioned2026-07-07T06:50:45Z
dc.date.available2026-07-07T06:50:45Z
dc.descriptionIn the theory of submanifolds, the following problem is fundamental: to establish simple relationships between the main intrinsic invariants and the main extrinsic invariants of the submanifolds.The basic relationships discovered until now [1, 2, 3, 4] are inequalities. To analyze these problems, we follow the idea of C. Udriste [6, 7, 8] that the method of constrained extremum is a natural way to prove geometric inequalities. We improve the Chen's inequality which characterizes a totally real submanifold of a complex space form. For that we suppose that the submanifold is Lagrangian and we formulate and analyze a suitable constrained extremum problem.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0511087
dc.identifierhttp://arxiv.org/abs/math/0511087
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104759
dc.subjectDifferential Geometry
dc.subjectOptimization and Control
dc.subject53C21, 53C24, 53C25, 49K35
dc.titleChen's inequality in Lagrangian case
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