L10A 1. Proof: A Parametrized Surface Is Minimal if and only if A’(0)=0 2. Isothermal Parametrized Surface 3. Theorem: If x Is an Isothermal Parametrized Surface Then x_uu+x_vv=2(a^2)HN
L10B 1. Theorem: If x Is an Isothermal Parametrized Surface Then x_uu+x_vv=2(a^2)HN (cont.) 2. Harmonic Function 3. Corollary: An Isothermal Parametrized Surface Is Minimal if and only if Its Coordinate Functions Are Harmonic 4. Introduction: Development of Minimal Surface
L10C 1. Examples: Catenoid and Helicoid 2. Proposition: Any Minimal Surface of Revolution Is an Open Subset of a Plane or a Catenoid 3. Proposition: Any Ruled Minimal Surface Is an Open Subset of a Plane or a Helicoid 4. Theorem: There Is No Compact Minimal Surface