Open AccessThe Concept of Curvature in Fiber Bundles
Author(s) -
Abdel Gadir Abael Raman,
Safia Abd Elrabman Jameel Mohammed,
Abdelhakam Hassan Mohammed Tahir
Publication year - 2022
Publication title -
international journal of scientific and management research
Language(s) - English
Resource type - Journals
ISSN - 2581-6888
DOI - 10.37502/ijsmr.2022.5304
Subject(s) - fiber bundle , cotangent bundle , tangent bundle , curvature , parallelizable manifold , fiber , mathematics , pure mathematics , bundle , manifold (fluid mechanics) , trigonometric functions , mathematical analysis , geometry , tangent space , materials science , engineering , composite material , mechanical engineering
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.