Principles of Locally Conformally Kähler Geometry

Principles of Locally Conformally Kähler Geometry

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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 the first time with full, ...