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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Hauptverfasser: Henry, Guillermo, Madani, Farid
Format: Artikel
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.
DOI:10.48550/arxiv.1612.03119