# Introduction to $\mathrm{G}_2$ geometry

@article{Karigiannis2020IntroductionT,
title={Introduction to \$\mathrm\{G\}\_2\$ geometry},
author={Spiro Karigiannis},
journal={arXiv: Differential Geometry},
year={2020},
pages={3-50}
}
These notes give an informal and leisurely introduction to $$\mathrm {G}_2$$ geometry for beginners. A special emphasis is placed on understanding the special linear algebraic structure in 7 dimensions that is the pointwise model for $$\mathrm {G}_2$$ geometry, using the octonions. The basics of $$\mathrm {G}_2$$-structures are introduced, from a Riemannian geometric point of view, including a discussion of the torsion and its relation to curvature for a general $$\mathrm {G}_2$$-structure, as… Expand

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