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Article overview
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Polar actions with a fixed point | J. Carlos Diaz-Ramos
; Andreas Kollross
; | Date: |
20 Jan 2010 | Abstract: | We prove a criterion for an isometric action of a Lie group on a Riemannian
manifold to be polar. From this criterion, it follows that an action with a
fixed point is polar if and only if the slice representation at the fixed point
is polar and the section is the tangent space of an embedded totally geodesic
submanifold. We apply this to obtain a classification of polar actions with a
fixed point on symmetric spaces. | Source: | arXiv, 1001.3535 | Services: | Forum | Review | PDF | Favorites |
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