Torsionless three-dimensional Heterotic solitons with harmonic curvature are rigid
Andrei Moroianu, Miguel Pino Carmona, C. S. Shahbazi
TL;DR
This paper proves that all compact three-dimensional Heterotic solitons with zero torsion and harmonic curvature are rigid, meaning they are isolated solutions in their moduli space, highlighting their uniqueness.
Contribution
The paper establishes a rigidity theorem for a specific class of three-dimensional Heterotic solitons with particular geometric conditions, which was previously unknown.
Findings
All such solitons are isolated points in the moduli space.
The rigidity result applies to compact three-dimensional Heterotic solitons with vanishing torsion and harmonic curvature.
Abstract
We prove the following rigidity result: every compact three-dimensional Heterotic soliton with vanishing torsion and harmonic curvature is rigid, namely, it is an isolated point in the moduli space.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Nonlinear Waves and Solitons · Nonlinear Partial Differential Equations