The CR-Volume of Horizontal Submanifolds of Spheres
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.
Authors
- Jacob Bernstein (ORCID: https://orcid.org/0000-0003-2774-9030)
- Arunima Bhattacharya (ORCID: https://orcid.org/0000-0001-8921-9057)
Institutions
- University of North Carolina at Chapel Hill (US)
- Johns Hopkins University (US)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2025-02-28
- DOI
- https://doi.org/10.1093/imrn/rnaf044
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00