Folding of Hyperbolic Manifolds

Abstract In this paper, we introduce the definition of hyperbolic manifold. The folding of hyperbolic manifold into itself is defined and discussed. Types of these foldings are deduced. Theorems governing these types are achieved. Mathematics Subject Classification, 51H10, 57N2

On some local properties of fuzzy manifold and its folding

This paper is a continuation of [5]. It introduces the local properties of the fuzzy manifold. the fuzzy vector field in a fuzzy tangent space will be defined. Theorems governing the relation between the folding of the fuzzy tangent space and the folding of the fuzzy manifold are deduced

Retraction of chaotic manifolds and fractal

In this article we will describe some types of retractions of chaotic manifold. We also will introduce a definition for the fractional dimension of the chaotic manifold. Some theorems related to them will be obtained. Some applications will also be mentioned in this paper