Parallel spinors on Lorentzian Weyl spaces

• Autoři: DIKAREV Andrei; GALAEV Anton S.
• Rok publikování: 2021
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Monatshefte für Mathematik
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://link.springer.com/article/10.1007%2Fs00605-021-01569-x
• Doi: http://dx.doi.org/10.1007/s00605-021-01569-x
• Klíčová slova: Weyl connection; Weighted spinor; Parallel spinor; Holonomy group; Einstein-Weyl structure
• Popis: Holonomy algebras of Lorentzian Weyl spin manifolds with weighted parallel spinors are found. For Lorentzian Weyl manifolds admitting recurrent null vector fields are introduced special local coordinates similar to Kundt and Walker ones. Using that, the local form of all Lorentzian Weyl spin manifolds with weighted parallel spinors is given. The Einstein-Weyl equation for the obtained Weyl structures is analyzed and examples of Einstein-Weyl spaces with weighted parallel spinors are given.

Související projekty

• Matematické struktury 10