Conformal geometry: metrics and cohomology is a project meant to explore complex manifolds admitting special geometric structures, with the ultimate purpose of obtaining suitable and strong classification criteria. Locally conformally Kähler (lcK) manifolds represent a key link between conformal and Kähler geometry and play an important role in understanding the properties of complex manifolds of non- Kähler type. We endeavor through this project to investigate on lcK manifolds fundamental problems of modern geometry such as cohomological obstructions to the existence of special metrics, classification and compatibility between different structures.
Sapere Aude: DFF-Starting Grant.
The project runs from 01.02.2024 until 31.01.2028.
