Sasakian manifolds were first introduced in 1962. This book's main focus is on the intricate
relationship between Sasakian and Kähler geometries, especially when the Kähler structure …

THE THEORY OF SUPERSTRING WITH FLUX ON NON-KAHLER MANIFOLDS AND THE
COMPLEX MONGE-AMP`ERE EQUATION Ji-Xiang Fu & Shing-Tun Page 1 j. differential …

Hermitian, pluriclosed metrics with vanishing Bismut-Ricci form give a natural extension of
Calabi-Yau metrics to the setting of complex, non-Kähler manifolds, and arise independently …

We construct balanced metrics on the family of non-Kähler Calabi-Yau threefolds that are
obtained by smoothing after contracting $(− 1,− 1) $-rational curves on a Kähler Calabi-Yau …

In this paper, we introduce the first Aeppli-Chern class for complex manifolds and show that
the $(1, 1) $-component of the curvature $2 $-form of the Levi-Civita connection on the anti …

We study the class of compact complex manifolds whose first Chern class vanishes in the
Bott-Chern cohomology. This class includes all manifolds with torsion canonical bundle, but …

We review some constructions and properties of complex manifolds admitting pluriclosed
and balanced metrics. We prove that for a 6-dimensional solvmanifold endowed with an …

Semilinear equations, the γk function, and generalized Gauduchon metrics Page 1 DOI
10.4171/JEMS/370 J. Eur. Math. Soc. 15, 659–680 c European Mathematical Society 2013 …

On a complex manifold a Hermitian metric which is simultaneously SKT and balanced has to
be necessarily Kähler. It has been conjectured that if a compact complex manifold $(M, J) …

A twist construction for manifolds with torus action is described generalizing certain T-duality
examples and constructions in hypercomplex geometry. It is applied to complex, SKT …