Twisted Dirac operators and generalized gradients

    研究成果: Article

    2 引用 (Scopus)

    抄録

    On Riemannian or spin manifolds, there are geometric first order differential operators called generalized gradients. In this article, we prove that the Dirac operator twisted with an associated bundle is a linear combination of some generalized gradients. This observation allows us to find all the homomorphism type Weitzenböck formulas. We also give some applications.

    元の言語English
    ページ(範囲)1-27
    ページ数27
    ジャーナルAnnals of Global Analysis and Geometry
    DOI
    出版物ステータスAccepted/In press - 2016 3 3

    Fingerprint

    Generalized Gradient
    Dirac Operator
    Homomorphism
    Linear Combination
    Differential operator
    Bundle
    First-order
    Observation

    ASJC Scopus subject areas

    • Geometry and Topology
    • Analysis
    • Political Science and International Relations

    これを引用

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    title = "Twisted Dirac operators and generalized gradients",
    abstract = "On Riemannian or spin manifolds, there are geometric first order differential operators called generalized gradients. In this article, we prove that the Dirac operator twisted with an associated bundle is a linear combination of some generalized gradients. This observation allows us to find all the homomorphism type Weitzenb{\"o}ck formulas. We also give some applications.",
    keywords = "Dirac operator, Generalized gradient, Lichnerowicz Laplacian, Weitzenb{\"o}ck formulas",
    author = "Yasushi Homma",
    year = "2016",
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    KW - Lichnerowicz Laplacian

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