Closed minimal surfaces of high Morse index in manifolds of negative curvature

2017/10/22 by Moore, John Douglas
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1710.08007

Abstract

We show that compact Riemannian three-manifolds with negative sectional curvature possess closed minimal surfaces of arbitrarily high Morse index.

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