The Equivariant Second Yamabe Constant
For a closed Riemannian manifold of dimension $n\geq 3$ and a subgroup $G$ of the isometry group, we define and study the $G-$equivariant second Yamabe constant and we obtain some results on the existence of $G-$invariant nodal solutions of the Yamabe equation.
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Sprache: | eng |
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Zusammenfassung: | For a closed Riemannian manifold of dimension $n\geq 3$ and a subgroup $G$ of
the isometry group, we define and study the $G-$equivariant second Yamabe
constant and we obtain some results on the existence of $G-$invariant nodal
solutions of the Yamabe equation. |
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DOI: | 10.48550/arxiv.1612.03119 |