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A Harmonic-Map Proof of Mostow Rigidity
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.Abstract
Given an isomorphism between the fundamental groups of two compact hyperbolic manifolds of dimension at least three, we consider the associated equivariant harmonic lift.
We establish a sharp pointwise gradient estimate for this lift.
This yields a harmonic-map proof of Mostow rigidity.
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