Cohomogeneity one hypersurfaces of Euclidean Spaces
Francesco MercuriIMECC - UNICAMP, Campinas, Brazil
Fabio PodestàUniversita di Firenze, Italy
José A. P. SeixasUniversidade Federal de Alagoas, Maceió, Brazil
Ruy TojeiroUfscar, São Carlos, Brazil
We study isometric immersions into Euclidean space of dimension of a complete Riemannian manifold of dimension on which a compact connected group of intrinsic isometries acts with principal orbits of codimension one. We give a complete classification if either and is compact or if and the connected components of the flat part of are bounded. We also provide several sufficient conditions for to be a hypersurface of revolution.
Cite this article
Francesco Mercuri, Fabio Podestà, José A. P. Seixas, Ruy Tojeiro, Cohomogeneity one hypersurfaces of Euclidean Spaces. Comment. Math. Helv. 81 (2006), no. 2, pp. 471–479DOI 10.4171/CMH/59