Since 2014
USING OF CARTAN'S MOVING FRAME METHOD IN DIFFERENTIAL GEOMETRY OF SURFACES
Research Journal of Economics, Business and ICT
View Archive Info| Field | Value | |
| Title |
USING OF CARTAN'S MOVING FRAME METHOD IN DIFFERENTIAL GEOMETRY OF SURFACES
|
|
| Creator |
Kanka, Milos; College of Polytechnics Jihlava
|
|
| Subject |
Economics, mathematics
Orthonormal frame, tangent space, differential forms, Gaussian curvature, Maurer-Cartan equations, Cartan’s lemma. C00 |
|
| Description |
The aim of this paper is to give basic geometrical characteristics of sphere and torus, parameterization of which is , but our interest is concentrated mainly to Cobb-Douglas surfaces used in economics. We are going to study these functions as regular surfaces in R3. Applying the method of Cartan moving frame we obtain geometrical description of Cobb-Douglas function used in economy, parameterization of which has the form , where , u > 0 , v > 0 and .
|
|
| Publisher |
English Time Schools & Overseas Education
|
|
| Contributor |
—
|
|
| Date |
2012-12-01
|
|
| Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
|
| Format |
application/pdf
|
|
| Identifier |
http://ojs.journals.cz/index.php/RJEBI/article/view/303
|
|
| Source |
Research Journal of Economics, Business and ICT; Vol 7 (2012); pp. 6-9
2047-7848 2045-3345 |
|
| Language |
eng
|
|
| Relation |
http://ojs.journals.cz/index.php/RJEBI/article/view/303/304
|
|
| Rights |
Copyright (c) 2012 Milos Kanka
https://creativecommons.org/licenses/by/3.0/ |
|