By using the method of equivariant differential geometry, we construct a new family of noncompact complete hypersurfaces with constant positive scalar curvature in the Euclidean spaces. To do so we make a detailed analysis of the nonlinear ODE of the constant scalar curvature equation.
@article{1288703100,
author = {OKAYASU, Takashi},
title = {New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space},
journal = {J. Math. Soc. Japan},
volume = {62},
number = {1},
year = {2010},
pages = { 1137-1166},
language = {en},
url = {http://dml.mathdoc.fr/item/1288703100}
}
OKAYASU, Takashi. New examples of complete hypersurfaces with constant positive scalar curvature in the Euclidean space. J. Math. Soc. Japan, Tome 62 (2010) no. 1, pp. 1137-1166. http://gdmltest.u-ga.fr/item/1288703100/