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 …

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 …

A locally conformally Kähler (LCK) manifold M is one which is covered by a Kähler
manifold\widetilde M with the deck transformation group acting conformally on\widetilde M. If …

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 …

The goal of this note is to give an introduction to locally conformally symplectic and Kähler
geometry. In particular, the first two sections aim to provide the reader with enough …

A locally conformally Kähler (LCK) manifold is a complex manifold admitting a Kähler
covering, with the monodromy acting on this covering by holomorphic homotheties. We …

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 …

We first generalize the join construction described previously by the first two authors [4] for
quasi-regular Sasakian-Einstein orbifolds to the general quasi-regular Sasakian case. This …

A contact manifold M can be defined as a quotient of a symplectic manifold X by a proper,
free action of R, with the symplectic form homogeneous of degree 2. If X is also Kähler, and …

Let M be a compact Sasakian manifold. We show that M admits a CR-embedding into a
Sasakian manifold diffeomorphic to a sphere, and this embedding is compatible with the …