GEOMETRICALLY CONSTRAINED CURVES AND THE CALCULUS OF VARIATIONS

A physical wire in a simply connected 3-dimensional complete Riemannian manifold M with constant sectional curvature resists bending and twisting. If we clamp the ends of a wire in some position then it will assume the shape of a certain curve and twist along that curve so as to minimize its total e...

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Bibliographic Details
Main Author: LI, HSIU-HSIANG
Format: Others
Language:English
Published: 2007
Subjects:
Online Access:http://hdl.handle.net/1911/15993