Differential Geometry Directory

2001-2002

Homework Solutions

· Homework 2 Curvature, Torsion, Evolute

· Homework 4 Curvature

· Homework 5 Regular Surfaces

· Homework 6 Regular Surfaces, Tangent Planes

· Homework 7 Solutions Second Fundamental Form

· Homework 8 First Fundamental Form

· Homework 9 Curvature of Enneper's surface

· Homework 10 Lines of Curvature and Asymptotic Lines

· Homework 11 Curvature of Mobius Band

· Homework 12 Curves of Rotation

· Homework 13 Isometries

· Homework 14 Compatibility Equations

· Homework 15 Compatibility Equations

· Homework 16 Geodesics

· Homework 17 Geodesics

Handouts

· Frenet Formulae

· Tractrix

· Inverse Function Theorem

· Osculating Circle

· The Geometric Meaning of Curvature

· Isoperimetric Theorem

· Curvature of a Surface

· Examples of Manifolds

· Compatibility Equations

· Geodesics

Computer Material