Parallel submanifolds of complex projective space and their normal holonomy

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dc.creatorDi Scala, Antonio J.
dc.creatorConsole, Sergio
dc.date2006-11-14
dc.date.accessioned2026-07-07T07:32:53Z
dc.date.available2026-07-07T07:32:53Z
dc.descriptionThe object of this article is to compute the holonomy group of the normal connection of complex parallel submanifolds of the complex projective space. We also give a new proof of the classification of complex parallel submanifolds by using a normal holonomy approach. Indeed, we explain how these submanifolds can be regarded as the unique complex orbits of the (projectivized) isotropy representation of an irreducible Hermitian symmetric space. Moreover, we show how these important submanifolds are related to other areas of mathematics and theoretical physics. Finally, we state a conjecture about the normal holonomy group of a complete and full complex submanifold of the complex projective space.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0611421
dc.identifierhttp://arxiv.org/abs/math/0611421
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/119270
dc.subjectDifferential Geometry
dc.subject53C42;53B25
dc.titleParallel submanifolds of complex projective space and their normal holonomy
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