2 papers
math.DG2026
Solvable Lie algebras obtained by quivers and Einstein metrics
Fumika Mizoguchi
In geometry, it is important to study whether a given Lie group admits a special left-invariant geometric structure. In our previous work, we constructed nilpotent Lie algebras fro…
math.DG2024
Nilpotent Lie algebras obtained by quivers and Ricci solitons
Fumika Mizoguchi, Hiroshi Tamaru
Nilpotent Lie groups with left-invariant metrics provide non-trivial examples of Ricci solitons. One typical example is given by the class of two-step nilpotent Lie algebras obtain…