ISOMETRIC FOLDING OF FINITE TYPE

Document Type : Research and Reference

Authors

1 Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt

2 Department of Mathematics, Faculty of Sciences, Minufiya University, Shebin El-Kom, Egypt

Abstract

In this paper we introduced a new type of isometric folding we called it isometric folding of finite type. We proved that any isometric folding is of finite type if it determines a stratification on M made up of finitely many strata of dimensions 0 and 1. Finally we explored the connectedness of the singular set and we proved that the composition and the Cartesian product of isometric foldings of finite type is an isometric folding of finite type.

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