FLAT POINTS ON CONTINUOUS ISOMETRIC DEFORMATIONS OF CONNECTED PLANAR REGIONS.

Title: FLAT POINTS ON CONTINUOUS ISOMETRIC DEFORMATIONS OF CONNECTED PLANAR REGIONS.
Identifier: AAI8222957
identifier: 8222957
Creator: LEWINTER, MARTIN JACOB.
Contributor: Richard Sacksteder
Date: 1982
Language: English
Publisher: City University of New York.
Subject: Mathematics
Abstract: The thesis demonstrates that the punctured unit disk whose rays are to be generators can't be embedded in R('3) as a developable surface consisting entirely of parabolic points. The method of proof involves the spherical image curve of the generators of the developable and the relationship of the occurrence of flat points on the developable and the convexity of the spherical image curve of the generators.;The basic results are then generalized, after some modification, to augmented and diminished unit disks, i.e. disks whose rays emanating from their origins rotate through angles larger than and smaller than 2(pi), respectively.;The paper closes with a discussion of the embedding of an annulus. Three cases are discussed: monotonic, strictly monotonic, and non-monotonic rotation in the planer annulus of the pre-images of the generators.
Type: dissertation
Source: PQT Legacy CUNY.xlsx
degree: Ph.D.
Program: Mathematics

Media: FLAT POINTS ON CONTINUOUS ISOMETRIC DEFORMATIONS OF CONNECTED PLANAR REGIONS.