Mathematics – Differential Geometry
Scientific paper
2007-01-25
Geom. Ded. 129 (2007), no. 1, 101-118
Mathematics
Differential Geometry
22 pages
Scientific paper
10.1007/s10711-007-9198-9
We 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.
Goertsches Oliver
Thorbergsson Gudlaugur
No associations
LandOfFree
On the Geometry of the Orbits of Hermann Actions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the Geometry of the Orbits of Hermann Actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the Geometry of the Orbits of Hermann Actions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-329147