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arXiv · 1611.06572

Manifolds with conullity at most two as graph manifolds

Luis A. Florit·Wolfgang Ziller
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Abstract

We find necessary and sufficient conditions for a complete $n$-dimensional Riemannian manifold of finite volume, whose curvature tensor has nullity at least $n-2$, to be a geometric graph manifold. In the process, we show that Nomizu's conjecture, well known to be false in general, is true for manifolds with finite volume.

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Luis A. Florit, Wolfgang Ziller. 2017-09-04. Manifolds with conullity at most two as graph manifolds. https://arxiv.org/abs/1611.06572

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