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Geometry Of Functions In Economics (Application Of Cartan's Moving Frame Method)

Research Journal of Economics, Business and ICT

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Title Geometry Of Functions In Economics (Application Of Cartan's Moving Frame Method)
 
Creator Kanka, Milos; College of Polytechnics, Jihlava
Kankova, Eva; University of Ecomomics in Prague
 
Subject —
Orthonormal Moving Frame, Maurer-Cartan Structural Equations, Weingarten Map, Gaussian Curvature, Parametrized Utility Surface, Exterior Product, Exterior Differentiation
C00
 
Description Our principal object of study is the geometry of special sub-manifolds of R3. The method we are going to use was in-vented by Darboux and brought to perfection by Cartan. Ona Riemannian manifold (M; h; i) we define an orthonormalmoving frame (X1; : : : ; Xn) such that (X1(p); : : : ; X(p)is an orthonormal frame for tangent space M. The aim ofthis article is to give geometrical analysis of a special typeof Cobb-Douglas surface, especially the formula of Gausscurvature (x; y) = (x; y; Ax);whereypA = 1; x > 0; y > 0; = 1 or = 2 and = 1:For this purpose we use the Cartan’s moving frame method.n
 
Publisher English Time Schools & Overseas Education
 
Contributor —
 
Date 2011-12-23
 
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/196
 
Source Research Journal of Economics, Business and ICT; Vol 3 (2011)
2047-7848
2045-3345
 
Language eng
 
Relation http://ojs.journals.cz/index.php/RJEBI/article/view/196/200
 
Rights Copyright (c) 2011 Milos Kanka, Eva Kankova
https://creativecommons.org/licenses/by/3.0/