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A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-08-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
The Cartan structure equations are used to study space-like and time-like isothermic surfaces in three-dimensional Minkowski space in a unified framework.
When the lines of curvature of a surface constitute an isothermal system, the surface is called isothermic.
This condition serves to define a system of one-forms such that, by means of the structure equations, the Gauss-Codazzi equations for the surface are determined explicitly.
A Lax pair can also be obtained from these one-forms for both cases, and, moreover, a nonhomogeneous Schrödinger equation can be associated with the set of space-like surfaces.
American Psychological Association (APA)
Bracken, Paul. 2018. A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space. International Journal of Mathematics and Mathematical Sciences،Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173455
Modern Language Association (MLA)
Bracken, Paul. A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space. International Journal of Mathematics and Mathematical Sciences No. 2018 (2018), pp.1-8.
https://search.emarefa.net/detail/BIM-1173455
American Medical Association (AMA)
Bracken, Paul. A Formulation of L-Isothermic Surfaces in Three-Dimensional Minkowski Space. International Journal of Mathematics and Mathematical Sciences. 2018. Vol. 2018, no. 2018, pp.1-8.
https://search.emarefa.net/detail/BIM-1173455
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1173455