Hermitian ranks of compact complex manifolds

Abstract
We investigate degenerate special-Hermitian metrics on compact complex manifolds; in particular, degenerate Kahler and locally conformally Kahler metrics on special classes of non-Kahler manifolds.
Funding Information
  • Ministero dell’Istruzione, dell’Università e della Ricerca (SIR2014 "Analytic aspects of complex and hypercomplex geometry" code RBSI14DYEB, FIRB2012 "Geometria Differenziale e Teoria Geome, GNSAGA)