27 Jul 2016
·
Di Scala Antonio J.,
de Freitas Guilherme Machado·
We show that every spherical 2-Dupin submanifold that is not a hypersurface
is conformally congruent to the standard embedding of the real, complex,
quaternionic or octonionic projective plane. We also classify 2-CPC,
2-umbilical and weakly 2-umbilical submanifolds in space forms.