Left-Invariant Einstein-like Metrics on Compact Lie Groups

• Published in: Mathematics (Basel) Vol. 10; no. 9; p. 1510
• Main Authors: Wu, An, Sun, Huafei
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.05.2022
• Subjects: ({\mathcal{A}}\)-metric; compact Lie groups; Decomposition; Einstein-like metric; homogeneous space; Invariants; Isotropy; Lie groups; Mathematics; Subgroups; ℬ-metric

In this paper, we study left-invariant Einstein-like metrics on the compact Lie group G. Assume that there exist two subgroups, H⊂K⊂G, such that G/K is a compact, connected, irreducible, symmetric space, and the isotropy representation of G/H has exactly two inequivalent, irreducible summands. We pr...