Cylindricity of complete Euclidean submanifolds with relative nullity (Q282770)

The authors generalize a classical result by \textit{R. Maltz} [Proc. Am. Math. Soc. 53, 428--432 (1975; Zbl 0317.53003)] that essentially goes back to P. Hartmann and also generalizes the Hartman-Nirenberg cylindricity theorem. The classic result states that \(s\)-cylinders are the only examples of isometrically immersed complete manifolds with nonnegative Ricci curvature and everywhere positive index of relative nullity. The authors' versions only require a controlled decay of the Ricci curvature.