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Robbin J.W., Salamon D.A. Introduction to Differential Geometry

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Robbin J.W., Salamon D.A. Introduction to Differential Geometry
Zürich: ETH, 2017. — 310 p.
These are notes for the lecture course “Differential Geometry I” given by the second author at ETH Zürich in the fall semester 2017. They are based on a lecture course given by the first author at the University of Wisconsin–Madison in the fall semester 1983.
What is Differential Geometry?
Foundations.
The Levi-Civita Connection.
Geodesics.
Curvature.
Geometry and Topology.
App. A. Notes.
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