We prove an extension of a celebrated equivariant bifurcation result of J. Smoller and A. Wasserman [21], in an abstract framework for geometric variational problems. With this purpose, we prove a slice theorem for continuous affine actions of a (finite-dimensional) Lie group on Banach manifolds. As an application, we discuss equivariant bifurcation of constant mean curvature hypersurfaces, providing a few concrete examples and counter-examples.

Equivariant bifurcation in geometric variational problems

Siciliano G.
2014-01-01

Abstract

We prove an extension of a celebrated equivariant bifurcation result of J. Smoller and A. Wasserman [21], in an abstract framework for geometric variational problems. With this purpose, we prove a slice theorem for continuous affine actions of a (finite-dimensional) Lie group on Banach manifolds. As an application, we discuss equivariant bifurcation of constant mean curvature hypersurfaces, providing a few concrete examples and counter-examples.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/473781
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