On compact hypersurfaces with constant scalar curvature in the Euclidean space

Okayasu, Takashi

Kodai Math. J., Tome 28 (2005) no. 1, p. 577-585 / Harvested from Project Euclid

Résumé

Let M be a compact hypersurface in the Euclidean space with cohomogeneity 2. We show that if the scalar curvature is constant, then M is a standard sphere. This gives a partial positive answer to a problem presented by Yau.

Publié le : 2005-10-14
Classification:

@article{1134397770,
     author = {Okayasu, Takashi},
     title = {On compact hypersurfaces with constant scalar curvature in the Euclidean space},
     journal = {Kodai Math. J.},
     volume = {28},
     number = {1},
     year = {2005},
     pages = { 577-585},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1134397770}
}

Okayasu, Takashi. On compact hypersurfaces with constant scalar curvature in the Euclidean space. Kodai Math. J., Tome 28 (2005) no. 1, pp.  577-585. http://gdmltest.u-ga.fr/item/1134397770/