On the structure of hypersurfaces in ${\mathbb{H}}^n\times \mathbb{R}$ with finite strong total curvature

Maria Fernanda Elbert, Barbara Nelli

We prove that if $X:M^n\to {\mathbb{H}}^n\times \mathbb{R}$, $n\ge 3$, is a an orientable, complete immersion with finite strong total curvature, then $X$ is proper and $M$ is diffeo…