Projective span of Wall manifolds
arxiv(2023)
摘要
The projective span of a smooth manifold is defined to be the maximal number
of linearly independent tangent line fields. We initiate a study of projective
span, highlighting its relationship with the span, a more classical invariant.
We calculate the projective span for all Wall manifolds, which are certain
mapping tori of Dold manifolds.
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