Some remarks on $G$-actions with sections

Elisa Gage Casini

Displaying similar documents to “Some remarks on $G$ -actions with sections”

Toroidal Lie group actions on compact Riemannian manifolds and their relations to the fibering problem.

Gabor Toth (1984)

Banach Center Publications

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An application of the Morse theory to the topology of Lie-groups

Raoul Bott (1956)

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Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces $G_{2}$ and $G_{2} / S O (4)$

László Verhóczki (2012)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The exceptional compact symmetric spaces $G_{2}$ and $G_{2} / S O (4)$ admit cohomogeneity one isometric actions with two totally geodesic singular orbits. These singular orbits are not reflective submanifolds of the ambient spaces. We prove that the radial unit vector fields associated to these isometric actions are harmonic and minimal.