Discrete Connection Laplacians
谱理论
2016-02-23 v4 微分几何
摘要
To every Hermitian vector bundle with connection over a compact Riemannian manifold one can associate a corresponding connection Laplacian acting on the sections of the bundle. We define analogous combinatorial metric dependent Laplacians associated to triangulations of and prove that their spectra converge, as the mesh of the triangulations approaches zero, to the spectrum of the connection Laplacian.
引用
@article{arxiv.math/0609464,
title = {Discrete Connection Laplacians},
author = {Svetoslav Zahariev},
journal= {arXiv preprint arXiv:math/0609464},
year = {2016}
}
备注
Final version, to appear in Proc. Amer. Math. Soc