21 citations · 126 across the 34 of their papers we have counts for
35 papers
Twisted Adiabatic Limit for Complex Structures
Dan Popovici
Given a complex manifold and a smooth positive function thereon, we perturb the standard differential operator acting on differential forms to a…
A Moment Map for the Space of Maps to a Balanced Manifold
Dan Popovici, Luis Ugarte
Given a complex balanced manifold and a compact complex manifold equipped with a positive volume form and satisfying an extra condition such that $\mbox{dim}\,S\geq\…
Partially Hyperbolic Compact Complex Manifolds
Hisashi Kasuya, Dan Popovici
We propose and investigate two types, the latter with two variants, of notions of partial hyperbolicity accounting for several classes of compact complex manifolds behaving hyperbo…
Functionals for the Study of LCK Metrics on Compact Complex Manifolds
Dan Popovici, Erfan Soheil
We propose an approach to the existence problem for locally conformally Kähler metrics on compact complex manifolds by introducing and studying a functional that is different accor…
Pluriclosed Star Split Hermitian Metrics
Dan Popovici
We introduce a class of Hermitian metrics, that we call pluriclosed star split, generalising both the astheno-Kähler metrics of Jost and Yau and the -Gauduchon metrics of Fu…
A Variational Approach to SKT and Balanced Metrics
Sławomir Dinew, Dan Popovici
We investigate compact complex manifolds endowed with SKT or balanced metrics. In each case we define a new functional whose critical points are proved to be precisely the Kähler m…