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The Skyrme Model on Riemannian manifolds

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The Skyrme Model on Riemannian manifolds is analysed. Under certain assumptions it is shown that the identity map is essentially the only absolute minimizer proving a conjecture stated by Manton and Ruback. In some other circumstances, it is shown that the identity map is a stable local minimum.

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Loss, M. The Skyrme Model on Riemannian manifolds. Lett Math Phys 14, 149–156 (1987). https://doi.org/10.1007/BF00420305

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  • Manifold
  • Statistical Physic
  • Local Minimum
  • Riemannian Manifold
  • Group Theory