5 citations · 8 across the 5 of their papers we have counts for
7 papers
Remarks on astheno-Kahler manifolds, Bott-Chern and Aeppli cohomology groups
Ionut Chiose, Rares Rasdeaconu
We provide a new cohomological obstruction to the existence of astheno-Kahler metrics, and study relevant examples.
Positive currents on non-kählerian surfaces, II
Ionut Chiose, Matei Toma
We present some properties of positive closed currents of type on compact non-kählerian surfaces related to our previous study of these objects started in \cite{ChiTo2}.
On the invariance of the total Monge-Ampere volume of Hermitian metrics
Ionut Chiose
In this note, we describe the Hermitian metrics that leave the total Monge-Ampere volume invariant. In particular, we give several characterizations of the Hermitian metrics which…
Balanced Manifolds and SKT Metrics
Ionut Chiose, Rares Rasdeaconu, Ioana Suvaina
The equality between the balanced and the Gauduchon cones is discussed in several situations. In particular, it is shown that equality does not hold on many twistor spaces, and it…
Balanced metrics on uniruled manifolds
Ionut Chiose, Rares Rasdeaconu, Ioana Suvaina
We show that an dimensional Moishezon manifold is uniruled if and only if it supports a balanced metric of positive total scalar Chern curvature. A similar statement…
The Kähler rank of compact complex manifolds
Ionut Chiose
The Kähler rank was introduced by Harvey and Lawson in their 1983 paper as a measure of the {\it kählerianity} of a compact complex surface. In this work we generalize this notion…
On compact complex surfaces of Kähler rank one
Ionut Chiose, Matei Toma
The Kähler rank of compact complex surfaces was introduced by Harvey and Lawson in their 1983 paper on Kähler manifolds as a measure of ``kälerianity''. Here we give a partial clas…