Generalized K\"ahler manifolds via mapping tori
Differential Geometry
2024-06-12 v3
Abstract
Starting from the product of a -torus and a compact K\"ahler (respectively, hyperK\"ahler) manifold we construct via mapping tori generalized K\"ahler manifolds of split (respectively, non-split) type. In this way we obtain new non-K\"ahler examples and we recover the known examples of generalized K\"ahler solvmanifolds. Moreover, we investigate the formality and the Dolbeault cohomology of the generalized K\"ahler mapping tori.
Keywords
Cite
@article{arxiv.2305.11075,
title = {Generalized K\"ahler manifolds via mapping tori},
author = {Beatrice Brienza and Anna Fino},
journal= {arXiv preprint arXiv:2305.11075},
year = {2024}
}
Comments
Final Version. To appear in J. Symplectic Geom