Acta mathematica scientia,Series B ›› 2018, Vol. 38 ›› Issue (6): 1903-1911.

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LICHNEROWICZ-OBATA THEOREM FOR KOHN LAPLACIAN ON THE REAL ELLIPSOID

Guijuan LIN1,2   

  1. 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.

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

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