Work

Einstein metrics on aligned homogeneous spaces with two factors

Year: 2025

Type: article

Abstract: Given two homogeneous spaces of the form and , where and are compact simple Lie groups, we study the existence problem for ‐invariant Einstein metrics on the homogeneous space . For the large subclass of spaces having three pairwise inequivalent isotropy irreducible summands (12 infinite families and 70 sporadic examples), we obtain that existence is equivalent to the existence of a real root for certain quartic polynomial depending on the dimensions and two Killing constants, which allows a full classification and the possibility to weigh the existence and nonexistence pieces of .

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70120

Authors: Jorge Lauret, Cynthia Will

Institutions: Consejo Nacional de Investigaciones Científicas y Técnicas, Universidad Nacional de Córdoba

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Consejo Nacional de Investigaciones Científicas y Técnicas, Fondo para la Investigación Científica y Tecnológica

OpenAlex ID: W4408383069

FWCI:

Cites: 17

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Related to: 10