<p>In this paper, the authors introduce a Morse-theoretic condition under which the Levi form is allowed to have negative eigenvalues outside critical locus, and show that the existence of an exhaustion function satisfying such a condition leads to vanishing theorems.</p>

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A Note on Vanishing Theorems on Non-pseudoconvex Complex Manifolds

  • Jun Yao,
  • Qingchun Ji

摘要

In this paper, the authors introduce a Morse-theoretic condition under which the Levi form is allowed to have negative eigenvalues outside critical locus, and show that the existence of an exhaustion function satisfying such a condition leads to vanishing theorems.