An analogue of Demailly's inequality for strictly pseudoconvex CR manifolds
An analogue of Demailly's inequality for strictly pseudoconvex CR manifolds
复制标题
DOI：
10.4310/jdg/1214442872
复制
发表时间：
1989
影响因子：
2.5
通讯作者：
E. Getzler
中科院分区：
文献类型：
--
作者：
E. Getzler
关于这个不等式的应用，参见Demailly的原始论文[3]。比斯穆特证明了这一公式（和一个类似的狄拉克算子）使用相同的证明，因为他早些时候给予的指数定理狄拉克算子。本文的目标之一是展示如何使用我们早期论文[6]中的符号演算技术来证明这些结果。我们将应用这种方法来研究一个类似的Demailly的渐近结果的D&运营商的严格pseudoconvex CR流形（我们将称为海森堡流形，为了简洁的术语）。
For the applications of this inequality, see Demailly's original paper [3]. Bismut proved this formula (and a similar one for the Dirac operator) using much the same proof as he had earlier given of the index theorem for Dirac operators. One of the goals of this paper is to show how these sorts of results may be proved using the symbol calculus technique of our earlier paper [6]. We will apply this method to study an analogue of Demailly's asymptotic result for the D& operator on strictly pseudoconvex CR manifolds (which we shall refer to as Heisenberg manifolds, in the interest of brevity of terminology).