Special non-Kähler metrics on solvmanifolds

Abstract: We discuss old and new results about the existence of special Hermitian metrics (locally conformally Kähler, balanced, pluriclosed) on complex nilmanifolds and on Oeljeklaus-Toma manifolds. This latter class represents a generalization of Inoue-Bombieri surfaces in arbitrary complex dimension and its construction, based on algebraic number theory, will allow us to give a numerical interpretation of the existence of several Hermitian metrics of special type.

differential geometry

Audience: researchers in the topic

( video )

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

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