Orbits of s-representations with degenerate Gauss mappings

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dc.creatorIkawa, Osamu
dc.creatorSakai, Takashi
dc.creatorTasaki, Hiroyuki
dc.date2008-03-17
dc.date.accessioned2026-07-07T09:27:08Z
dc.date.available2026-07-07T09:27:08Z
dc.descriptionIn this paper we study tangentially degeneracy of the orbits of s-representations in the sphere. We show that an orbit of an s-representation is tangentially degenerate if and only if it is through a long root, or a short root of restricted root system of type G_2. Moreover these orbits provide many new examples of tangentially degenerate submanifolds which satisfy the Ferus equality.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0803.2391
dc.identifierhttp://arxiv.org/abs/0803.2391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156990
dc.subjectDifferential Geometry
dc.subject53C40; 53C35
dc.titleOrbits of s-representations with degenerate Gauss mappings
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