On Extending Calibrations
Differential Geometry
2015-01-27 v1
Abstract
This is a companion note of [Zhaa] (arXiv:1501.01836) where the extension of local calibration pairs of smooth submanifolds is discussed. Here we emphasize on the case of singular submanifolds. More precisely, we study when a calibration pair around the singular set of a submanifold can extend to a local calibration pair about the entire submanifold. Based upon [Zhab] (arXiv:1501.04681) several examples of particular interests under the view of calibrated geometry are considered.
Keywords
Cite
@article{arxiv.1501.06163,
title = {On Extending Calibrations},
author = {Yongsheng Zhang},
journal= {arXiv preprint arXiv:1501.06163},
year = {2015}
}
Comments
10 pages, 6 figures, comments are welcome