带边界的校准子流形的形变
微分几何
2019-10-03 v1
摘要
我们综述了关于具有特殊和乐的黎曼流形中出现的校准极小子流形形变的一些结果。所考虑的校准子流形假定为紧致且具非空边界，其边界被约束于某一固定的特定子流形中运动。这些结果推广了 McLean 先前针对闭紧致子流形所发展的形变理论。
引用
@article{arxiv.1910.00978,
title = {Deformations of calibrated submanifolds with boundary},
author = {Alexei Kovalev},
journal= {arXiv preprint arXiv:1910.00978},
year = {2019}
}
备注
To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics"