Nonlinear Hodge equations in vector bundles
Thomas H. Otway
TL;DR
This paper investigates a gauge-invariant formulation of the nonlinear Hodge equations within the context of vector bundles, aiming to deepen understanding of their mathematical structure and potential applications.
Contribution
It introduces a gauge-invariant form of the nonlinear Hodge equations, providing new insights into their structure and solutions in vector bundle theory.
Findings
Established a gauge-invariant formulation of the equations
Analyzed the mathematical properties of the nonlinear Hodge equations
Potential implications for geometric analysis and mathematical physics
Abstract
A gauge-invariant form of the nonlinear Hodge equations is studied.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Waves and Solitons · Advanced Differential Geometry Research