Asymptotically harmonic manifolds of dimension 3 with minimal horospheres
Differential Geometry
2023-09-06 v1
Abstract
In [14], it was shown that, if M is a 3-dimensional asymptotically harmonic with minimal horospheres, then M is flat. However, there is a gap in the proof of this paper. In this paper, we provide the correct proof of the result. Thus we complete the classification of asymptotically harmonic manifolds of dimension 3: An asymptotically harmonic manifold of dimension 3 is either a flat or real hyperbolic space.
Keywords
Cite
@article{arxiv.2309.02226,
title = {Asymptotically harmonic manifolds of dimension 3 with minimal horospheres},
author = {Jihun Kim and JeongHyeong Park and Hemangi Madhusudan Shah},
journal= {arXiv preprint arXiv:2309.02226},
year = {2023}
}
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7 pages