2000/07/10 by Yasushi Homma, Homma, Yasushi
Mathematics · #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory in Mathematical Physics #math.DG
paper · pdf · doi:10.48550/arxiv.math/0007052
21 pages, LaTex2e
arxiv created 2000/07/10 · openalex publication_date 2000/07/10 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a generalization of the Clifford action for other representations spaces of Spin(n), which is called the Clifford homomorphism. Their properties extend to the ones for the higher spin Dirac operators on spin manifolds. In particular, we have general Bochner identities for them, and an eigenvalue estimate of a Laplace type operator on any associated bundle.