الفهرس 
Smooth ManifoldsOnly 14 pages are availabe for public view
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Abstract
Local isometry between Riernannian manifolds may be characterized as maps that send geodesic segments to geodesic segments of the same length Isometric foldings are likewise characterized by such property, with difference that we use piecewise geodesic segments instead of geodesic segments.The theory of isometric foldings is introduced by S.A. Robertson The theory of isometric foIdings has been pushed by E. EL-KhoIy. In this thesis we introduced a new type of isometric folding we called it isometric folding of finite type. This type of foldings partition the manifold into a finitely many regions. We have quoted some background material in geometric and differential topology, Riemannian manifolds, graphs and isometric folding By the end we proved some results of isometric folding of finite type