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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Springer Berlin Heidelberg,
2021-09-20T17:16:50Z.
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Subjects: | |
Online Access: | Get fulltext |