@article{d1c47199c8884cc2ad57e5d98922d60a,
title = "Vanishing theorem of Kohn-Rossi cohomology class and rigidity of Sasakian space form",
abstract = "In this note, under the positivity assumption of the pseudohermitian curvature, we derive the existence theorem for pseudo-Einstein contact forms and rigidity theorems for Sasakian space forms in a closed spherical strictly pseudoconvex CR 3manifold of the nonnegative CR Paneitz operator with a kernel consisting of the CR pluriharmonic functions and the CR Q-curvature is pluriharmonic.",
keywords = "CR Paneitz operator, CR Q-curvature, CR pluriharmonic operator, CR rigidity theorem, Pseudo-Einstein, Sasakian manifold, Sasakian space form, Tangential Cauchy-Riemann equation",
author = "Chang, {Der Chen} and Chang, {Shu Cheng} and Kuo, {Ting Jung} and Chien Lin",
note = "Funding Information: Part of the project was done during the visit to Yau Mathematical Sciences Center, Tsinghua University. The authors would like to express their thanks for the warm hospitality. Funding Information: Received November 7, 2020. 2010 Mathematics Subject Classification: Primary 32V05, 32V20; secondary 53C56. ∗Der-Chen Chang is partially supported by an NSF grant DMS-1408839 and a McDevitt Endowment Fund at Georgetown University. †Shu-Cheng Chang and Ting-Jung Kuo are partially supported in part by the MOST of Taiwan. Publisher Copyright: {\textcopyright} 2022, International Press, Inc.. All rights reserved.",
year = "2022",
doi = "10.4310/PAMQ.2022.v18.n2.a3",
language = "English",
volume = "18",
pages = "411--436",
journal = "Pure and Applied Mathematics Quarterly",
issn = "1558-8599",
publisher = "International Press of Boston, Inc.",
number = "2",
}