An estimate for the sectional curvature of cylindrically bounded submanifolds

Luis J. Alias, G. Pacelli Bessa, J. Fabio Montenegro

We give sharp sectional curvature estimates for complete immersed cylindrically bounded $m$-submanifolds $\varphi :M\to N\times {\mathbb{R}}^{\ell }$, $n+\ell \le 2m-1$ provided that either $…