Bochner identities for Kählerian gradients

Yasushi Homma

doi:10.1007/s00208-005-0670-2

Bochner identities for Kählerian gradients

Yasushi Homma^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	181-211
Number of pages	31
Journal	Mathematische Annalen
Volume	333
Issue number	1
DOIs	https://doi.org/10.1007/s00208-005-0670-2
Publication status	Published - 2005 Sept

ASJC Scopus subject areas

Mathematics(all)

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10.1007/s00208-005-0670-2

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abstract = "We discuss algebraic properties for the symbols of geometric first order differential operators on K{\"a}hler 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.",

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AB - 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.

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Bochner identities for Kählerian gradients

Abstract

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