A complete solution of P. Samuel's problem

作者:Dajczer Marcos*; Tojeiro Ruy
来源:Journal fur die Reine und Angewandte Mathematik, 2016, 719(719): 75-100.
DOI:10.1515/crelle-2014-0039

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

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