Differential Geometry miscellaneous resources

• Chapter 1
  • 1.6 Exterior derivative of the wedge product of 1-forms
  • 1.7 Visualization of mappings from ℝⁿ to ℝ^m
  • 1.7 Introduction to Tangent Maps
• Chapter 2
  • 2.2 Vector field on a curve mp4 m4v
  • 2.4 Spherical image of a helix
  • 2.4 Spherical image of a helix
  • 2.4 Another spherical image
  • 2.6 Frame field
  • 2.6 Frame field
  • 2.6 Frame field
  • 2.7 Connection forms for a frame field
• Chapter 4
  • 4.1 Cylindrical Patch
  • 4.1 Monge patch atlas for the torus
  • 4.2 Ruled Surface 1 mp4 m4v
  • 4.2 Ruled Surface 2 mp4 m4v
  • 4.6 Thomas Table 16.2
  • 4.7 Null homotopy
  • 4.8 Point in ℝP²
  • 4.8 Curve in ℝP² mp4 m4v
  • 4.8 Curve in ℝP² mp4 m4v
• Chapter 5
  • 5.2 Normal Sections
  • 5.3 Gaussian and Mean Curvature
  • 5.3 Gaussian and Mean Curvature
  • 5.3 Minimal Surfaces (External site)
  • 5.4 Computing Gaussian and Mean Curvature
• Chapter 6
  • 6.8 Gauss Map / Total Curvature mp4 m4v
• Chapter 7
  • 7.6 Rectangular Decomposition   sphere  torus  torus
  • 7.6 Gaussian Curvature under Homotopy   mp4 m4v