3 papers
math.DG2026
The Fino--Vezzoni conjecture on homogeneous spaces
Joseph Kwong
We prove that a compact discrete quotient of a complex homogeneous space with compact isotropy is Kähler whenever it admits both a balanced metric and a pluriclosed metric. Moreove…
math.DG2026
Invariant complex structures on SL(2,C)
Joseph Kwong, Asia Mainenti
We classify the left-invariant complex structures on the real Lie group SL(2,C) up to Lie group automorphism. The classification consists of the bi-invariant complex structure, a f…
math.DG2026
Balanced and pluriclosed metrics on real semisimple Lie groups
Joseph Kwong
We characterise the existence of balanced and pluriclosed metrics on compact quotients of real semisimple Lie groups equipped with regular complex structures, in terms of Vogan dia…