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Auteurs principaux: Case, Jeffrey S., Takeuchi, Yuya
Format: Preprint
Publié: 2026
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Accès en ligne:https://arxiv.org/abs/2602.03241
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author Case, Jeffrey S.
Takeuchi, Yuya
author_facet Case, Jeffrey S.
Takeuchi, Yuya
contents We study the existence problem for complete contact forms with constant Tanaka--Webster scalar curvature on non-compact strictly pseudoconvex CR manifolds. We prove that, under mild assumptions, the universal cover of a compact strictly pseudoconvex CR manifold admits infinitely many non-homothetic such contact forms whenever its fundamental group has infinite profinite completion. As applications, we treat complements of real or complex spheres in the standard CR sphere, as well as circle bundles over compact Kähler manifolds and the boundary of a Reinhardt domain.
format Preprint
id arxiv_https___arxiv_org_abs_2602_03241
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Non-homothetic complete periodic contact forms with constant Tanaka--Webster scalar curvature
Case, Jeffrey S.
Takeuchi, Yuya
Differential Geometry
Analysis of PDEs
Complex Variables
32V20, 35B10, 35J20, 35J20, 35H20, 53C21
We study the existence problem for complete contact forms with constant Tanaka--Webster scalar curvature on non-compact strictly pseudoconvex CR manifolds. We prove that, under mild assumptions, the universal cover of a compact strictly pseudoconvex CR manifold admits infinitely many non-homothetic such contact forms whenever its fundamental group has infinite profinite completion. As applications, we treat complements of real or complex spheres in the standard CR sphere, as well as circle bundles over compact Kähler manifolds and the boundary of a Reinhardt domain.
title Non-homothetic complete periodic contact forms with constant Tanaka--Webster scalar curvature
topic Differential Geometry
Analysis of PDEs
Complex Variables
32V20, 35B10, 35J20, 35J20, 35H20, 53C21
url https://arxiv.org/abs/2602.03241