Techniques for classifying nonnegatively curved left-invariant metrics on compact Lie groups
微分几何
2007-05-23 v1 度量几何
摘要
We provide techniques for studying the nonnegatively curved left-invariant metrics on a compact Lie group. For "straight" paths of left-invariant metrics starting at bi-invariant metrics and ending at nonnegatively curved metrics, we deduce a nonnegativity property of the initial derivative of curvature. We apply this result to obtain a partial classification of the nonnegatively curved left-invariant metrics on SO(4).
引用
@article{arxiv.math/0608362,
title = {Techniques for classifying nonnegatively curved left-invariant metrics on compact Lie groups},
author = {Jack Huizenga},
journal= {arXiv preprint arXiv:math/0608362},
year = {2007}
}
备注
13 pages