Calibrated Submanifolds
Differential Geometry
2018-10-23 v1
Abstract
We provide an introduction to the theory of calibrated submanifolds through the key examples related with special holonomy. We focus on calibrated geometry in Calabi-Yau, G and Spin(7) manifolds, and describe fundamental results and techniques in the field.
Cite
@article{arxiv.1810.08709,
title = {Calibrated Submanifolds},
author = {Jason D. Lotay},
journal= {arXiv preprint arXiv:1810.08709},
year = {2018}
}
Comments
24 pages. To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics". These notes are primarily based on a lecture course the author gave at the LMS-CMI Research School "An Invitation to Geometry and Topology via G2" at Imperial College London in July 2014