Singular CR structures of constant Webster curvature and applications

Chiara Guidi, Ali Maalaoui and Vittorio Martino

Mathematische Nachrichten, 2024, vol. 297, issue 3, 943-961

Abstract: We consider the sphere S2n+1$\mathbb {S}^{2n+1}$ equipped with its standard contact form. In this paper, we construct explicit contact forms on S2n+1∖S2k+1$\mathbb {S}^{2n+1}\setminus \mathbb {S}^{2k+1}$, which are conformal to the standard one and whose related Webster metrics have constant Webster curvature; in particular, it is positive if 2k

Date: 2024
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https://doi.org/10.1002/mana.202200289

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