Twisted Dirac operators and generalized gradients

    研究成果: Article

    2 引用 (Scopus)

    抜粋

    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

    ASJC Scopus subject areas

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

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