The CR-Volume of Horizontal Submanifolds of Spheres
Differential Geometry
2024-01-23 v1
Abstract
We study an analog in CR-geometry of the conformal volume of Li-Yau. In particular, to submanifolds of odd-dimensional spheres that are Legendrian or, more generally, horizontal with respect to the sphere's standard CR-structure we associate a quantity that is invariant under the CR-automorphisms of the sphere. We apply this concept to a corresponding notion of Willmore energy.
Cite
@article{arxiv.2401.11357,
title = {The CR-Volume of Horizontal Submanifolds of Spheres},
author = {Jacob Bernstein and Arunima Bhattacharya},
journal= {arXiv preprint arXiv:2401.11357},
year = {2024}
}
Comments
38 pages