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The CR Yamabe
constant and inequivalent CR structures
Chanyoung Sung and Yuya Takeuchi |
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Vol. 335 (2025), No. 1, 163–181
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DOI: 10.2140/pjm.2025.335.163
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Abstract |
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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 formulas 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. |
Keywords
CR Yamabe constant, CR manifold, pseudohermitian manifold
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Mathematical Subject Classification
Primary: 32V05, 32V20, 57K43
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Milestones
Received: 7 March 2024
Revised: 1 February 2025
Accepted: 1 February 2025
Published: 8 April 2025
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Authors |
| Chanyoung Sung | |
| Department of Mathematics
Education Korea National University of Education Cheongju Korea |
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| Yuya Takeuchi | |
| Division of Mathematics Institute of Pure and Applied Sciences University of Tsukuba Tsukuba Japan |
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| © 2025 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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