2 papers
math.DG2012
Submanifolds of products of space forms
Bruno Mendonça, Ruy Tojeiro
We give a complete classification of submanifolds with parallel second fundamental form of a product of two space forms. We also reduce the classification of umbilical submanifolds…
math.DG2011
Umbilical submanifolds of
Bruno Mendonça, Ruy Tojeiro
We give a complete classification of umbilical submanifolds of arbitrary dimension and codimension of $\Sf^n\times \R$, extending the classification of umbilical surfaces in $\Sf^2…