Kohn–Rossi cohomology class, Sasakian space form and CR Frankel conjecture

Der Chen Chang; Shu Cheng Chang; Ting Jung Kuo; Chien Lin

doi:10.4310/AMSA.2023.v8.n1.a3

Kohn–Rossi cohomology class, Sasakian space form and CR Frankel conjecture

Der Chen Chang
, Shu Cheng Chang
, Ting Jung Kuo
, Chien Lin

數學系

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

摘要

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 pseu-dohermitian curvature on the space of smooth representatives of the first Kohn-Rossi cohomology group.

原文	英語
頁（從 - 到）	79-109
頁數	31
期刊	Annals of Mathematical Sciences and Applications
卷	8
發行號	1
DOIs	https://doi.org/10.4310/AMSA.2023.v8.n1.a3
出版狀態	已發佈 - 2023

ASJC Scopus subject areas

一般數學

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10.4310/AMSA.2023.v8.n1.a3

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abstract = "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 pseu-dohermitian curvature on the space of smooth representatives of the first Kohn-Rossi cohomology group.",

keywords = "CR Frankel conjecture, CR Paneitz operator, CR-pluriharmonic opera-tor, Kohn-Rossi cohomology group, Lee conjecture, Pseudo-Einstein, Riemann mapping theorem, Spherical structure",

author = "Chang, \{Der Chen\} and Chang, \{Shu Cheng\} and Kuo, \{Ting Jung\} and Chien Lin",

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AU - Chang, Shu Cheng

AU - Kuo, Ting Jung

AU - Lin, Chien

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KW - CR Paneitz operator

KW - CR-pluriharmonic opera-tor

KW - Kohn-Rossi cohomology group

KW - Lee conjecture

KW - Pseudo-Einstein

KW - Riemann mapping theorem

KW - Spherical structure

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Kohn–Rossi cohomology class, Sasakian space form and CR Frankel conjecture

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