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)
Appalachian State University (ASU )
Web Site: https://library.appstate.edu/
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.

Additional Information

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 Unpublished Honors Thesis.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
Differential Geometry, Manifolds, Vector Bundles

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