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Bibliographic Details
Main Authors: Angella, Daniele, Pediconi, Francesco, Scarpa, Carlo, Spotti, Cristiano, Windare, Oluwagbenga Joshua
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2605.31028
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Table of Contents:
  • We introduce and study a one-parameter Hermitian deformation of the Yamabe problem on compact complex manifolds. The deformation is defined by adding natural torsion terms to the Riemannian scalar curvature, and includes both the classical Yamabe equation and a scalar-curvature equation arising in locally conformally Kähler geometry as a momentum map. We analyze criteria for the existence of solutions, and discuss several examples.