Bochner identities for Kählerian gradients

    研究成果: Article

    3 引用 (Scopus)

    抄録

    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.

    元の言語English
    ページ(範囲)181-211
    ページ数31
    ジャーナルMathematische Annalen
    333
    発行部数1
    DOI
    出版物ステータスPublished - 2005 9

    Fingerprint

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

    ASJC Scopus subject areas

    • Mathematics(all)

    これを引用

    Bochner identities for Kählerian gradients. / Homma, Yasushi.

    :: Mathematische Annalen, 巻 333, 番号 1, 09.2005, p. 181-211.

    研究成果: Article

    @article{2cb04ac563e2458ea443da13c2b5e9de,
    title = "Bochner identities for K{\"a}hlerian gradients",
    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.",
    author = "Yasushi Homma",
    year = "2005",
    month = "9",
    doi = "10.1007/s00208-005-0670-2",
    language = "English",
    volume = "333",
    pages = "181--211",
    journal = "Mathematische Annalen",
    issn = "0025-5831",
    publisher = "Springer New York",
    number = "1",

    }

    TY - JOUR

    T1 - Bochner identities for Kählerian gradients

    AU - Homma, Yasushi

    PY - 2005/9

    Y1 - 2005/9

    N2 - 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.

    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.

    UR - http://www.scopus.com/inward/record.url?scp=23044461724&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=23044461724&partnerID=8YFLogxK

    U2 - 10.1007/s00208-005-0670-2

    DO - 10.1007/s00208-005-0670-2

    M3 - Article

    AN - SCOPUS:23044461724

    VL - 333

    SP - 181

    EP - 211

    JO - Mathematische Annalen

    JF - Mathematische Annalen

    SN - 0025-5831

    IS - 1

    ER -