Bochner identities for Kählerian gradients

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3 Citations (Scopus)

Abstract

We discuss algebraic properties for the symbols of geometric first order differential operators on Kähler manifolds. Through a study of the universal enveloping algebra and higher Casimir elements we know a lot of relations for the symbols which induce Bochner identities for the operators. As applications we have vanishing theorems eigenvalue estimates and so on.

Original languageEnglish
Pages (from-to)181-211
Number of pages31
JournalMathematische Annalen
Volume333
Issue number1
DOIs
Publication statusPublished - 2005 Sep 1

ASJC Scopus subject areas

  • Mathematics(all)

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