M435 Introduction to Differentiable Geometry

Introduction to Differentiable Geometry

Indiana University, Spring 2014. This was a course on the Differential Geometry of Curves and Surfaces, along the lines of Do Carmo's book with that name.

Lecture notes are below.

Part I: Geometry of Curves and Introduction.

Part II: Topology of Surfaces.

Part III: Geometry of Surfaces.

Part IV: Geometry of Surfaces continued.

Part V: Geodesics.

Part VI: The Gauss-Bonnet Theorem.

Part VII: Hyperbolic Geometry.