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Scalar curvature, mean curvature and harmonic maps to the circle

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 نشر من قبل Xiaoxiang Chai
 تاريخ النشر 2021
  مجال البحث فيزياء
والبحث باللغة English
 تأليف Xiaoxiang Chai




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We study harmonic maps from a 3-manifold with boundary to $mathbb{S}^1$ and prove a special case of dihedral rigidity of three dimensional cubes whose dihedral angles are $pi / 2$. Furthermore we give some applications to mapping torus hyperbolic 3-manifolds.



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