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An Introduction to Differential Geometry through Computation

An Introduction to Differential Geometry through Computation

An Introduction to Differential Geometry through Computation

This note explains the following topics: Linear Transformations, Tangent Vectors, The push-forward and the Jacobian, Differential One-forms and Metric Tensors, The Pullback and Isometries, Hypersurfaces, Flows, Invariants and the Straightening Lemma, The Lie Bracket and Killing Vectors, Hypersurfaces, Group actions and Multi-parameter Groups, Connections and Curvature.

Author(s):

s225 Pages
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