An eigenvalue comparison theorem for the Dirac operator on surfaces

DOI10.1007/S00013-016-0947-6zbMath1345.35067OpenAlexW2492816691MaRDI QIDQ315700

Frederico Girão

Publication date: 22 September 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-016-0947-6

zbMATH Keywords

eigenvalues of the Dirac operatorRicci flow on surfaces

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15)

Related Items (1)

Eigenvalues of the Dirac operator on compact spin manifolds under Ricci flow

Cites Work

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• Dirac eigenvalue estimates on two-tori
• Dirac eigenvalue estimates on surfaces
• Lower eigenvalue estimates for Dirac operators
• A conformal lower bound for the smallest eigenvalue of the Dirac operator and Killing spinors
• Eigenvalue bounds for the Dirac operator
• A Penrose-like inequality for the mass of Riemannian asymptotically flat manifolds
• A spin-conformal lower bound of the first positive Dirac eigenvalue
• Three-manifolds with positive Ricci curvature
• Eigenvalue monotonicity for the Ricci-Hamilton flow

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