Projective span of Wall manifolds

Mark Grant; Baylee Paige Schutte

doi:10.1007/s40590-024-00648-x

Projective span of Wall manifolds

Mark Grant^* (Corresponding Author)
, Baylee Paige Schutte

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	75
Number of pages	21
Journal	Boletin Sociedad Matematica Mexicana
Volume	30
Issue number	3
Early online date	26 Jul 2024
DOIs	https://doi.org/10.1007/s40590-024-00648-x
Publication status	Published - Nov 2024

Keywords

span
projective span
vector fields
line fields

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Cite this

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KW - span

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KW - vector fields

KW - line fields

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Projective span of Wall manifolds

Abstract

Keywords

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