THE ENERGY-MOMENTUM TENSOR ON Spinc MANIFOLDS

DOI10.1142/S0219887811005178zbMath1221.53082arXiv1011.0333MaRDI QIDQ3007738

Roger Nakad

Publication date: 17 June 2011

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.0333

zbMATH Keywords

energy-momentum tensorKilling spinorsDiract operator\(\text{Spin}^c\) manifoldsGauss-formula

Mathematics Subject Classification ID

Spin and Spin({}^c) geometry (53C27)

Related Items (9)

The twisted \(\mathrm{Spin}^c\) Dirac operator on Kähler submanifolds of the complex projective space ⋮ THE ENERGY-MOMENTUM TENSOR ON LOW DIMENSIONAL Spin^c MANIFOLDS ⋮ Spinorial representation of submanifolds in Riemannian space forms ⋮ Spinorially twisted spin structures. III: CR structures ⋮ Totally umbilical hypersurfaces of Spinc manifolds carrying special spinor fields ⋮ Hypersurfaces of \(\mathrm{Spin}^{c}\) manifolds and Lawson type correspondence ⋮ Complex generalized Killing spinors on Riemannian \(\mathrm{Spin}^c\) manifolds ⋮ The Hijazi inequalities on complete Riemannian \(\mathrm{Spin}^c\) manifolds ⋮ Characterization of hypersurfaces in four-dimensional product spaces via two different \(\text{Spin}^{\text{c}}\) structures

Cites Work

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• Self-duality in four-dimensional Riemannian geometry
• Some remarks on the Hijazi inequality and generalizations of the Killing equation for spinors
• Eigenvalue estimates for the Dirac-Schröder operators
• Dirac operator on embedded hypersurfaces

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