The Concept of Curvature in Fiber Bundles

Abstract

Many basic concepts in theoretical physics can be interpreted in term of fiber bundles. A fiber bundle is a manifold that locally looks like a product manifold. The well-known examples are the tangent and the cotangent bundles. The aim of this paper is to discuss and explain the concept of curvature in fiber bundles. We followed the analytical induction mathematical method and we found that the curvature is very important concept in fiber bundles.We use Theory of fiber bundles to illustrate the structure homogenous C ∗ algebras.