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Calibrations close to G2-twistor space
Abstract
We study natural structures of the kind of G2 existing on the unit tangent sphere bundle SM → M of any oriented Riemannian 4-manifold M. Based on the Harvey-Morgan classification of degree 3 calibrations on ℝ7, we identity those which can be found on SM. We also study the Laplacian of the Sasaki metric on 3-forms.
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BibTeX
@misc{albuquerque2026calibrations,
title = {{Calibrations close to $\mathrmG_2$-twistor space}},
author = {Rui Albuquerque},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.28980},
eprint = {2610.28980},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.28980},
}
RIS
TY - UNPB
TI - Calibrations close to G_2-twistor space
AU - Rui Albuquerque
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.28980
UR - https://arxiv.org/abs/2610.28980
AB - We study natural structures of the kind of G_2 existing on the unit tangent sphere bundle SM → M of any oriented Riemannian 4-manifold M. Based on the Harvey-Morgan classification of degree 3 calibrations on ℝ^7, we identity those which can be found on SM. We also study the Laplacian of the Sasaki metric on 3-forms.
ER -