Volume functionals on pseudoconvex hypersurfaces
Differential Geometry
2023-05-18 v1
Abstract
We study an intrinsic volume form defined on a pseudoconvex hypersurface in a complex Calabi-Yau manifold. We compute first and second variation formulae and discuss possible analogues of the affine isoperimetric inequality. In the last section of the paper we explore infinite dimensional aspects, including moment maps for diffeomorphism group actions.
Cite
@article{arxiv.2305.09932,
title = {Volume functionals on pseudoconvex hypersurfaces},
author = {Simon Donaldson and Fabian Lehmann},
journal= {arXiv preprint arXiv:2305.09932},
year = {2023}
}