Writing long books is a laborious and impoverishing act of foolishness: expanding in five
hundred pages an idea that could be perfectly explained in a few minutes. A better …

The solution of the Calabi Conjecture by Yau implies that every Kähler Calabi–Yau manifold
XX admits a metric with holonomy contained in SU (n) SU(n), and that these metrics are …

Vaisman metrics on solvmanifolds and Oeljeklausâ•fiToma manifolds Page 1 Bull. London
Math. Soc. 45 (2013) 15–26 Cо2012 London Mathematical Society doi:10.1112/blms/bds057 …

A Hopf manifold is a quotient of C n\0 by the cyclic group generated by a holomorphic
contraction. Hopf manifolds are diffeomorphic to S 1× S 2 n-1 and hence do not admit Kähler …

An LCK manifold is a complex manifold (M,I) equipped with a Hermitian form ω and a closed
1-form θ, called the Lee form, such that dω=θ∧ω. An LCK manifold with potential is an LCK …

An LCK manifold with potential is a quotient of a Kähler manifold X equipped with a positive
Kähler potential f, such that the monodromy group acts on X by holomorphic homotheties …

A locally conformally Kähler (LCK) manifold is a complex manifold $ M $ admitting a Kähler
covering $\tilde {M} $, such that its monodromy acts on this covering by homotheties. A …

A manifold (M, I, J, K) is called hypercomplex if I, J, K are complex structures satisfying
quaternionic relations. A quaternionic Hermitian metric is called HKT (hyperkaehler with …

arXiv:1501.02687v3 [math.DG] 9 May 2016 Page 1 arXiv:1501.02687v3 [math.DG] 9 May 2016
LOCALLY CONFORMALLY SYMPLECTIC STRUCTURES ON COMPACT NON-KAHLER …

Locally conformally Kähler (LCK) manifolds with potential are those which admit a Kähler
covering with a proper, automorphic, global potential. The existence of a potential can be …