A Brief Survey Of Manifolds And Vector Bundles
- ASU Author/Contributor (non-ASU co-authors, if there are any, appear on document)
- William Dulaney (Creator)
- Institution
- Appalachian State University (ASU )
- Web Site: https://library.appstate.edu/
- Advisor
- William Cook
Abstract: This is a survey of various key components and machinery used in modern differential geometry. We begin with an introduction to multilinear algebra up to basic notions of tensors and exterior algebras. A survey of basic topology and manifold theory is then presented. This includes a formulation of tangent spaces, vector bundles, and sections on a manifold. This paper then concludes with an introduction to semi-Riemannian geometry including an outline of metrics, connections, and covariant differentiation.
A Brief Survey Of Manifolds And Vector Bundles
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Created on 6/5/2019
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Additional Information
- Publication
- Honors Project
- Dulaney, W. (2019). A Brief Survey Of Manifolds And Vector Bundles. Unpublished Honors Thesis. Appalachian State University, Boone, NC.
- Language: English
- Date: 2019
- Keywords
- Differential Geometry, Manifolds, Vector Bundles