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

Yen Wen Fan, Ting Jung Kuo

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)929-946
Number of pages18
JournalAsian Journal of Mathematics
Volume18
Issue number5
DOIs
Publication statusPublished - 2014
Externally publishedYes

Keywords

  • CR diameter
  • CR gradient estimate
  • Eigenvalue estimate
  • Sublaplacian

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Fingerprint Dive into the research topics of 'On the estimate of first positive eigenvalue of a sublaplacian in a pseudohermitian manifold'. Together they form a unique fingerprint.

Cite this