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arXiv · 1501.06163

On Extending Calibrations

Yongsheng Zhang
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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.

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Yongsheng Zhang. 2015-01-25. On Extending Calibrations. https://arxiv.org/abs/1501.06163

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