On immersed compact submanifolds of Euclidean space

Marco Rigoli
1988 Proceedings of the American Mathematical Society  
Given an immersion /: M -► Rn of a compact Riemannian manifold M we prove a simple criterion involving the tension field of / to determine whether or not / is an isometry.
doi:10.1090/s0002-9939-1988-0915735-6 fatcat:ghndwkpnevhjndzwb3wj52a754