On 3-dimensional asymptotically harmonic manifolds with minimal horospheres

Hemangi Shah

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arXiv · 1108.4395

On 3-dimensional asymptotically harmonic manifolds with minimal horospheres

Hemangi Shah

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Abstract

Let $(M,g)$ be a complete, simply connected Riemannian manifold of dimension 3 without conjugate points. We show that $M$ is a flat manifold, provided $M$ is asymptotically harmonic of constant $h = 0$.

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BibTeX RIS

Hemangi Shah. 2013-05-21. On 3-dimensional asymptotically harmonic manifolds with minimal horospheres. https://arxiv.org/abs/1108.4395

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