An Introduction to Differential Geometry through Computation by Mark E. Fels
File Type :PDF Number of Pages :225
Description This note
explains the following topics: Linear Transformations, Tangent Vectors, The
pushforward and the Jacobian, Differential Oneforms and Metric Tensors, The
Pullback and Isometries, Hypersurfaces, Flows, Invariants and the Straightening
Lemma, The Lie Bracket and Killing Vectors, Hypersurfaces, Group actions and
Multiparameter Groups, Connections and Curvature.
