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CR Yamabe constant and inequivalent CR structures

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arxiv 2210.16443 v2 pith:WY66Z52H submitted 2022-10-29 math.DG math.CV

Chanyoung Sung , Yuya Takeuchi This is my paper · ORCID
classification math.DGmath.CV
keywords yamabeconstantpseudoconvexstronglystructurescompactmanifoldadmitting
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The CR Yamabe constant is an invariant of a compact strongly pseudoconvex CR manifold and plays an important role in CR geometry. We show some integral formulae of the CR Yamabe constant. We also construct an infinite-dimensional family of strongly pseudoconvex CR structures with varying CR Yamabe constants and a compact simply-connected manifold admitting two strongly pseudoconvex CR structures with different signs of the CR Yamabe constant.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The CR Yamabe invariant and constant scalar curvature Sasaki metrics

    math.DG 2025-08 conditional novelty 6.0 of 10

    If the CR Yamabe invariant of a Sasaki manifold attains the minimum determined by its Reeb cone, the manifold is K-semistable, linking CR analysis to algebraic stability.

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