Developable surfaces in Euclidean space-Reference-Cited by-同舟云学术

Developable surfaces in Euclidean space

Published:1999-06 Issue:3 Volume:66 Page:388-402
ISSN:0263-6115
Container-title:Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
language:en
Short-container-title:J Aust Math Soc A

Author:

Ushakov Vitaly

Abstract

AbstractThe classical notion of a two-dimensional develpable surface in Euclidean three-space is extended to the case of arbitrary dimension and codimension. A collection of characteristic properties is presented. The theorems are stated with the minimal possible integer smoothness. The main tool of the investigation is Cartan's moving frame method.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics,Statistics and Probability

Reference28 articles.

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4. Smoothness of the solution of the trivial Monge-Ampère equation

5. [U1] Ushakov V. , Riemannian manifolds and surfaces of constant nullity (Ph.D. Thesis, St.-Petersburg University, 1993), (Russian).

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