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Conformal foliations, K\"ahler twists and the Weinstein construction by Nagy, Paul-Andi; Ornea, Liviu is a scholarly article available to read on EtoBox.

What is Conformal foliations, K\"ahler twists and the Weinstein construction about?

We classify both local and global K\"ahler structures admitting totally geodesic homothetic foliations with complex leaves. The main building blocks are related to Swann's twists and are obtained by applying Weinstein's method of constructing symplectic bundles to K\"ahler data. As a byproduct we obtain new classes of: holomorphic harmonic morphisms with fibres of arbitrary dimension from compact K\"ahler manifolds; non-K\"ahler balanced metrics conformal to K\"ahler ones (but compatible with different complex structures). Some classes of non-Einstein constant scalar curvature K\"ahler metrics are also obtained in this way.

Author

Nagy, Paul-Andi; Ornea, Liviu

Published

2019

Language

EN