On the Geometry of the Orbits of Hermann Actions

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dc.creatorGoertsches, Oliver
dc.creatorThorbergsson, Gudlaugur
dc.date2007-01-25
dc.date.accessioned2026-07-07T08:48:02Z
dc.date.available2026-07-07T08:48:02Z
dc.descriptionWe investigate the submanifold geometry of the orbits of Hermann actions on Riemannian symmetric spaces. After proving that the curvature and shape operators of these orbits commute, we calculate the eigenvalues of the shape operators in terms of the restricted roots. As applications, we get a formula for the volumes of the orbits and a new proof of a Weyl-type integration formula for Hermann actions.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0701731
dc.identifierhttp://arxiv.org/abs/math/0701731
dc.identifierGeom. Ded. 129 (2007), no. 1, 101-118
dc.identifierdoi:10.1007/s10711-007-9198-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143805
dc.subjectDifferential Geometry
dc.subject53C35
dc.titleOn the Geometry of the Orbits of Hermann Actions
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