On some variational problems in conformal geometry

Abstract: I will present several natural functionals defined on a conformal class of almost Hermitian metrics on a compact manifold, and I will establish their Euler-Lagrange equations. I will show that the Gauduchon metrics appear naturally as the unique extremal metrics of one such functional. Next, a new class of metrics will be introduced, also appearing as extremal in complex dimension two. I will show that these new metrics, while not Gauduchon in general, give again unique representatives, up to constant multiples, of conformal classes of almost Hermitian metrics. This is joint work with D. Angella, A. Otiman and N. Tardini.

differential geometry

Audience: researchers in the topic

Differential Geometry Seminar Torino

Series comments: This is a hybrid seminar organized by the Differential Geometry groups of Università and Politecnico di Torino.

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