作为欧氏空间子集的Grassmann流形
微分几何
2021-01-26 v1
摘要
我们将Grassmann流形 视为给定欧氏空间 的所有正交投影构成的子集，并获得了关于 作为赋予Hilbert-Schmidt内积的 的子流形的微分几何的一些显式公式。这些公式大多可自然推广到无限维Hilbert空间情形。
引用
@article{arxiv.2101.09731,
title = {Grassman manifolds as subsets of Euclidean spaces},
author = {Armando Machado and Isabel Salavessa},
journal= {arXiv preprint arXiv:2101.09731},
year = {2021}
}
备注
Latex-reformatted version of the conference article "Grassman manifolds as subsets of Euclidean Spaces", in Differential Geometry, Proc. 5th Int. Colloq., Santiago de Compostela, Spain, 1984, Research Notes in Mathematics, 131, 85-102, Pitman Adv. Pub. Prog., Boston-London-Melbourne (1985); scans of original paper attached as figures