On the estimate of first positive eigenvalue of a sublaplacian in a pseudohermitian manifold

Yen Wen Fan, Ting Jung Kuo

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

In this paper, we first obtain a CR version of Yau's gradient estimate for eigenfunc- tions of a sublaplacian. Second, by using CR analogue of Li-Yau's eigenvalue estimate, we are able to obtain a lower bound of the first positive eigenvalue in a pseudohermitian manifold of nonvanishing pseudohermitian torsion and nonpositive lower bound on pseudohermitian Ricci curvature.

原文英語
頁(從 - 到)929-946
頁數18
期刊Asian Journal of Mathematics
18
發行號5
DOIs
出版狀態已發佈 - 2014
對外發佈

ASJC Scopus subject areas

  • 數學(全部)
  • 應用數學

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