Curvature in almost-complex and complex geometry

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Authors

CLEMENTE Gabriella Alexandrea

Year of publication 2023
Type Appeared in Conference without Proceedings
MU Faculty or unit

Faculty of Science

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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