Curvature in almost-complex and complex geometry
| Authors | |
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| Year of publication | 2023 |
| Type | Appeared in Conference without Proceedings |
| MU Faculty or unit | |
| Citation | |
| Description | The interplay between the almost-complex and Riemannian geometries of a manifold can be perceived through curvature. For instance, non-flat constant curvature Riemannian metrics obstruct the existence of certain special complex structures. The question of whether there can be a (compact) almost-complex manifold of real dimension at least 6 that is not complex remains unanswered. The aim of this talk will be to explore the more tractable, related question: what is the effect of constraining the various curvatures of a Riemannian metric on integrability in the almost-hermitian setting? |
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