Reducibility of Dupin submanifolds

Preprint, Other literature type English OPEN
Dajczer, Marcos; Florit, Luis A.; Tojeiro, Ruy;
  • Publisher: University of Illinois at Urbana-Champaign, Department of Mathematics
  • Journal: issn: 0019-2082
  • Publisher copyright policies & self-archiving
  • Subject: 53C40 | 37K25 | 53B25 | Mathematics - Differential Geometry
    arxiv: Mathematics::Differential Geometry | Mathematics::Complex Variables | Mathematics::Symplectic Geometry

We introduce the notion of weak reduciblity for Dupin submanifolds with arbitrary codimension. We give a complete characterization of all weakly reducible Dupin submanifolds, as a consequence of a general result on a broader class of Euclidean submanifolds. As a main ap... View more
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