摘要
We give a complete solution of a problem in submanifold theory posed and partially solved by the eminent algebraic geometer Pierre Samuel in 1947. Namely, to determine all pairs of immersions f, g: M-n -> R-N into Euclidean space that have the same Gauss map and induce conformal metrics on the manifold M-n. The case of isometric induced metrics was solved in 1985 by the first author and D. Gromoll.
- 出版日期2016-10