Eigenvalue estimates for Dirac operators in geometries with torsion

DOI10.1007/s10455-009-9172-xzbMath1190.53044OpenAlexW2039989898MaRDI QIDQ2655204

Mario Kassuba

Publication date: 22 January 2010

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-009-9172-x

zbMATH Keywords

Dirac operatoreigenvalue estimatescharacteristic connectionskew-symmetric torsionspecial Riemannian manifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27)

Related Items (5)

Moduli spaces of oriented Type A manifolds of dimension at least 3 ⋮ The moduli space of type \(\mathcal{A}\) surfaces with torsion and non-singular symmetric Ricci tensor ⋮ Moduli spaces of type \(\mathcal B\) surfaces with torsion ⋮ Twistorial eigenvalue estimates for generalized Dirac operators with torsion ⋮ Adapted connections on metric contact manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Almost Hermitian 6-manifolds revisited
• 7-dimensional compact Riemannian manifolds with Killing spinors
• Complete Ricci-flat Kähler manifolds of infinite topological type
• On the first eigenvalue of the Dirac operator on 6-dimensional manifolds
• A local index theorem for non-Kähler manifolds
• The construction of ALE spaces as hyper-Kähler quotients
• Deformations of Sasakian structures and its application to the Brieskorn manifolds
• On nearly parallel \(G_2\)-structures
• On the holonomy of connections with skew-symmetric torsion
• Parallel spinors and connections with skew-symmetric torsion in string theory.
• Connections on naturally reductive spaces, their Dirac operator and homogeneous models in string theory
• A cubic Dirac operator and the emergence of Euler number multiplets of representations for equal rank subgroups
• 3-Sasakian manifolds in dimension seven, their spinors and G\(_2\)-structures
• Almost Hermitian structures with parallel torsion
• \(G_2\)-manifolds with parallel characteristic torsion
• Eigenvalue estimates for Dirac operators with parallel characteristic torsion
• The topology of contact Riemannian manifolds

This page was built for publication: Eigenvalue estimates for Dirac operators in geometries with torsion