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More General Surfaces in Differential Geometry - Lecture 22

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This lecture examines ruled and developable surfaces, curvature, and minimal surfaces, then turns to polynomially defined cubic surfaces and projective and affine constructions. It follows an introductory lecture on surfaces.

Syllabus

Introduction
Family of rule surfaces
Special class of rule surfaces
Three different types of developable surfaces
When and how to fit a surface of minimal area to a given boundary
Catenary
Projective view
19th century- Study of cubic surfaces
Triple spread formula
Projective constructions of surfaces
Affine construction of surfaces

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Insights into Mathematics

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