Asymptotically harmonic manifolds without focal points

2011/09/12 by Zimmer, Andrew M.
#53C35 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1109.2481

Abstract

In this note we show that a compact asymptotically harmonic manifold without focal points is either flat or a rank one locally symmetric space.

Related

• Compact asymptotically harmonic manifolds
• Asymptotically harmonic manifolds of dimension 3 with minimal horospheres
• Horospherical mean curvature functions and D'Atri spaces
• Noncompact asymptotically harmonic manifolds
• On 3-dimensional asymptotically harmonic manifolds with minimal horospheres