The Equivariant Second Yamabe Constant

Guillermo Henry; Farid Madani

The Equivariant Second Yamabe Constant

Differential Geometry 2018-01-11 v2

Authors: Guillermo Henry , Farid Madani

Abstract

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.

Keywords

yamabe problem

Cite

@article{arxiv.1612.03119,
  title  = {The Equivariant Second Yamabe Constant},
  author = {Guillermo Henry and Farid Madani},
  journal= {arXiv preprint arXiv:1612.03119},
  year   = {2018}
}

Comments

28 pages. Minor changes. To appear in J. Geom. Anal

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