The Higher Spin Dirac Operators on 3-Dimensional Manifolds

2000/06/28 by Yasushi Homma, Homma, Yasushi
Mathematics · #Advanced Operator Algebra Research #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory in Mathematical Physics #math.DG

paper · pdf · doi:10.48550/arxiv.math/0006210

21 pages, LaTex2e

arxiv created 2000/06/28 · openalex publication_date 2000/06/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the higher spin Dirac operators on 3-dimensional manifolds and show that there exist two Laplace type operators for each associated bundle. Furthermore, we give lower bound estimations for the first eigenvalues of these Laplace type operators.

Related

• The higher spin Dirac operators
• Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure
• Clifford Homomorphisms and Higher Spin Dirac Operators
• Spectral estimates on 2-tori
• The Dirac operator on locally reducible Riemannian manifolds