Bochner identities for Kählerian gradients

    Research output: Contribution to journalArticle

    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

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    Gradient
    Eigenvalue Estimates
    Vanishing Theorems
    Universal Enveloping Algebra
    Differential operator
    First-order
    Operator

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Bochner identities for Kählerian gradients. / Homma, Yasushi.

    In: Mathematische Annalen, Vol. 333, No. 1, 09.2005, p. 181-211.

    Research output: Contribution to journalArticle

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