Eigenvalue Estimates for the Dirac Operator on Quaternionic Kaehler Manifolds

1997/03/27 by W. Kramer, Uwe Semmelmann, Kramer, W. +3
Mathematics · #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometry and complex manifolds #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.dg-ga/9703021

openalex publication_date 1997/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We consider the Dirac operator on compact quaternionic Kaehler manifolds and prove a lower bound for the spectrum. This estimate is sharp since it is the first eigenvalue of the Dirac operator on the quaternionic projective space.

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