LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID

数学物理学报(英文版) ›› 2018, Vol. 38 ›› Issue (6): 1903-1911.

LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID

林桂娟^1,2

1 School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China;
2 College of Mathematics and Imformatics, Fujian Normal University, Fuzhou 350108, China

收稿日期:2017-04-11 修回日期:2018-01-31 出版日期:2018-12-25 发布日期:2018-12-28
作者简介:Guijuan LIN,E-mail:Guijuan Lin@163.com
基金资助:
Supported by the Study of Some Problems on Holomorphic Function Space and Operator Theory (11671357), the National Natural Science Foundation of China (11771139), and the Natural Science Foundation of Guangxi (2015jjBA10049). And the author was partially supported by the Hu Guozan Study-Abroad Grant for graduates (China) for her visit to UC Irvine in 2015——2016 when part of this work was done.

LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID

Guijuan LIN^1,2

1 School of Mathematics and Statistics, Minnan Normal University, Zhangzhou 363000, China;
2 College of Mathematics and Imformatics, Fujian Normal University, Fuzhou 350108, China

Received:2017-04-11 Revised:2018-01-31 Online:2018-12-25 Published:2018-12-28
Supported by:
Supported by the Study of Some Problems on Holomorphic Function Space and Operator Theory (11671357), the National Natural Science Foundation of China (11771139), and the Natural Science Foundation of Guangxi (2015jjBA10049). And the author was partially supported by the Hu Guozan Study-Abroad Grant for graduates (China) for her visit to UC Irvine in 2015——2016 when part of this work was done.

摘要/Abstract

摘要： We give the sharp lower bound for Ricci curvature on the real ellipsoid in Cⁿ⁺¹, and prove the Lichnerowicz-Obata theorem for Kohn Laplacian.

关键词: Ricci curvature, eigenvalue, Kohn-Laplacian

Abstract: We give the sharp lower bound for Ricci curvature on the real ellipsoid in Cⁿ⁺¹, and prove the Lichnerowicz-Obata theorem for Kohn Laplacian.

Key words: Ricci curvature, eigenvalue, Kohn-Laplacian

林桂娟. LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID[J]. 数学物理学报(英文版), 2018, 38(6): 1903-1911.

Guijuan LIN. LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID[J]. Acta mathematica scientia,Series B, 2018, 38(6): 1903-1911.

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LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID

LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID

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