The Generalized Weierstrass System for Nonconstant Mean Curvature Surfaces and the Nonlinear Sigma Model
P Bracken
TL;DR
This paper explores a generalized Weierstrass system that enables the construction of nonconstant mean curvature surfaces in three-dimensional space, linking geometric surface theory with the nonlinear sigma model.
Contribution
It introduces a generalized Weierstrass framework for mean curvature surfaces and connects it with the nonlinear sigma model, expanding the mathematical tools for surface analysis.
Findings
Development of a generalized Weierstrass system for nonconstant mean curvature surfaces
Establishment of a connection between surface theory and the nonlinear sigma model
Potential applications in geometric analysis and mathematical physics
Abstract
A study of the generalized Weierstrass system which can be used to induce mean curvature surfaces in three-dimensional Euclidean space is presented.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Mathematics and Applications · Advanced Theoretical and Applied Studies in Material Sciences and Geometry