黎曼叶状结构上叶向热流的长时间行为
dg-ga
2025-05-15 v3 微分几何
摘要
对于闭流形 M 上任意丛状度量下的黎曼叶状结构 F，证明微分形式的叶向热流在无穷时间下保持 M 上的光滑性。这一结果及其证明对 M 上丛状度量空间、叶向调和形式空间的维数，以及主要对 F 的可微谱序列第二项具有推论。
引用
@article{arxiv.dg-ga/9612010,
title = {Long time behavior of leafwise heat flow for Riemannian foliations},
author = {Jesus A. Alvarez Lopez and Yuri A. Kordyukov},
journal= {arXiv preprint arXiv:dg-ga/9612010},
year = {2025}
}
备注
LaTeX, 25 pages. A correction of a corollary with an example was included as an addendum to the original manuscript, with 3 additional pages