Isoparametric functions on $\mathbb{R}^n\times\mathbb{M}^m$

Jurgen Julio-Batalla

Isoparametric functions on $\mathbb{R}^n\times\mathbb{M}^m$

Differential Geometry 2018-01-04 v2

Authors: Jurgen Julio-Batalla

Abstract

We classify the isoparametric functions on $\mathbb{R}^n\times\mathbb{M}^m$ , $n, m\geq2$ , with compact level sets, where $\mathbb{M}^m$ is a connected, closed Riemannian manifold of dimension $m$ . Also, we classify the isoparametric hypersurfaces in $\mathbb{S}^2\times\mathbb{R}^2$ with constant principal curvatures.

Keywords

hypersurfaces riemannian geometry morse theory

Cite

@article{arxiv.1801.00351,
  title  = {Isoparametric functions on $\mathbb{R}^n\times\mathbb{M}^m$},
  author = {Jurgen Julio-Batalla},
  journal= {arXiv preprint arXiv:1801.00351},
  year   = {2018}
}

Comments

10 pages

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