Canonical K\'ahler metrics on classes of Lorentzian $4$-manifolds

Autor:	Aazami, Amir Babak, Maschler, Gideon
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics 53C25 (Primary) 53C50 53C55 (Secondary)
Zdroj:	Ann. Global Anal. Geom. 57 (2020), no. 1, 175-204
Druh dokumentu:	Working Paper
Popis:	Conditions for the existence of K\"ahler-Einstein metrics and central K\"ahler metrics [MS] along with examples, both old and new, are given on classes of Lorentzian $4$-manifolds with two distinguished vector fields. The results utilize the general construction [AM] of K\"ahler metrics on such manifolds. The examples include both complete and incomplete metrics, and some reside on Lie groups associated to four types of Lie algebras. An appendix includes a similar construction for scalar-flat K\"ahler metrics. Comment: sequel to [AM], final version. Various significant changes, in particular with regard to completeness
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1811.08999 Zobrazit plný text záznamu View this record from Arxiv