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math.DG2021★ 2 cited
A comparison between the Bismut-Lott torsion and the Igusa-Klein torsion
Martin Puchol, Yeping Zhang, Jialin Zhu
We consider a fibration with compact fiber together with a unitarily flat complex vector bundle over the total space. Under the assumption that the fiberwise cohomology admits a fi…
math.DG2021★ 1 cited
Sub-Riemannian geometry on some step-two Carnot groups
Hong-Quan Li, Ye Zhang
This paper is a continuation of the previous work of the first author. We characterize a class of step-two groups introduced in \cite{Li19}, saying GM-groups, via some basic sub-Ri…