Annals of Mathematical Sciences and Applications
Volume 8 (2023)
Kohn–Rossi cohomology class, Sasakian space form and CR Frankel conjecture
Pages: 79 – 109
In this paper, we give a criterion of pseudo-Einstein contact forms and then affirm the CR analogue of Frankel conjecture in a closed, spherical, strictly pseudoconvex CR manifold of nonnegative pseudohermitian curvature on the space of smooth representatives of the first Kohn–Rossi cohomology group.
Pseudo-Einstein, CR-pluriharmonic operator, CR Paneitz operator, CR Frankel conjecture, Spherical structure, Riemann mapping theorem. Lee conjecture, Kohn-Rossi cohomology group
2010 Mathematics Subject Classification
Primary 32V05, 32V20. Secondary 53C56.
All authors contributed equally to this work which included mathematical theory and analysis. The authors have read and agreed to the published version of the manuscript.
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.
Chien Lin is partially supported by a project of the Ministry of Science and Technology of China (Grant number QN2022035003L).
Received 28 July 2022
Accepted 28 July 2022
Published 30 March 2023