Critical‎ ‎Metrics‎ ‎Related‎ ‎to Quadratic Curvature Functionals over Generalized Symmetric Spaces of Dimension Four

Abstract

‎Our examination of quadratic curvature functionals in Generalized Symmetric Spaces has resulted in the comprehensive classification of critical metric sets within diverse categories of these spaces‎.

Keywords

• ‎generalized symmetric space‎
• ‎quadratic curvature functional‎
• ‎critical metric‎
• ‎homogeneous space‎