Nodal sets of smooth functions with finite vanishing order and p-sweepouts

Abstract We show that on a compact Riemannian manifold (M, g), nodal sets of linear combinations of any $$p+1$$ p + 1 smooth functions form an admissible p-sweepout provided these linear combinations have uniformly bounded vanishing order. This applies in particular to finite linear combinations of...

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Bibliographic Details
Main Authors: Beck, Thomas (Author), Becker-Kahn, Spencer (Author), Hanin, Boris (Author)
Format: Article
Language:English
Published: Springer Berlin Heidelberg, 2021-09-20T17:16:50Z.
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