On 3-dimensional asymptotically harmonic manifolds with minimal horospheres

2011/08/22 by Shah, Hemangi
#Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C35 #Secondary 53C25

paper · doi:10.48550/arxiv.1108.4395

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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