학술논문
A metric property of umbilic points
Document Type
article
Author
Source
Anais da Academia Brasileira de Ciências. December 2003 75(4)
Subject
Language
English
ISSN
0001-3765
Abstract
In the space of cubic forms of surfaces, regarded as a G-space and endowed with a natural invariant metric, the ratio of umbilic points with a negative index to those with a positive index is evaluated in terms of the asymmetry of the metric, defined here. This work contains also a section with references pertinent to umbilic points and one with a discussion of a connection of the above defined ratio with that reported in 1977 by Berry and Hannay in the domain of Statistical Physics.