Bundle Constructions of Calibrated Submanifolds in R^7 and R^8

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dc.creatorIonel, Marianty
dc.creatorKarigiannis, Spiro
dc.creatorMin-Oo, Maung
dc.date2004-07-31
dc.date2005-02-07
dc.date.accessioned2026-07-07T05:10:54Z
dc.date.available2026-07-07T05:10:54Z
dc.descriptionWe construct calibrated submanifolds of R^7 and R^8 by viewing them as total spaces of vector bundles and taking appropriate sub-bundles which are naturally defined using certain surfaces in R^4. We construct examples of associative and coassociative submanifolds of R^7 and of Cayley submanifolds of R^8. This construction is a generalization of the Harvey-Lawson bundle construction of special Lagrangian submanifolds of R^{2n}.
dc.description22 pages; for Revised Version: Minor changes, improved notation, streamlined exposition
dc.identifierhttps://arxiv.org/abs/math/0408005
dc.identifierhttp://arxiv.org/abs/math/0408005
dc.identifierMathematical Research Letters 12, 493-512 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72073
dc.subjectDifferential Geometry
dc.subject53C38; 53C29
dc.titleBundle Constructions of Calibrated Submanifolds in R^7 and R^8
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