This monograph introduces readers to locally conformally Kähler (LCK) geometry and provides an extensive overview of the most current results.  A rapidly developing area in complex geometry dealing with non-Kähler manifolds, LCK geometry has strong links to many other areas of mathematics, including algebraic geometry, topology, and complex analysis.  The authors emphasize these connections to create a unified and rigorous treatment of the subject suitable for both students and researchers.

Part I builds the necessary foundations for those approaching LCK geometry for...