Detect duality obstruction of calibrations in smooth category
Differential Geometry
2026-03-02 v3
Abstract
This paper consists of three parts: (a) exhibit a new gluing result which can dramatically simplify extensions of calibration pairs; (b) observe that every Lawlor cone can support coflat calibrations singular only at the origin; (c) show that there exist many Lawlor cones which cannot support any smooth calibrations. As an application, we extend our previous work on detecting duality obstruction of calibrations in the smooth category.
Cite
@article{arxiv.2512.04789,
title = {Detect duality obstruction of calibrations in smooth category},
author = {Yongsheng Zhang},
journal= {arXiv preprint arXiv:2512.04789},
year = {2026}
}
Comments
24 pages. Improved version inspired by feedbacks. Added Coro 3.5, 6.5, Rk 6.6-6.8 and Ref [Mor85] and [Zus]