Deformation of spectrum and length spectrum on some compact nilmanifolds under the Ricci flow

S. Azami ; A. Razavi

Eurasian mathematical journal, Tome 9 (2018) no. 1, pp. 11-29.

Résumé

In this article we study the eigenvalue variations of Heisenberg and quaternion Lie groups under the Ricci flow and we investigate the deformation of some characteristics of compact nilmanifolds $\Gamma\setminus N$ under the Ricci flow, where $N$ is a simply connected $2$-step nilpotent Lie group with a left invariant metric and $\Gamma$ is a discrete cocompact subgroup of $N$, in particular Heisenberg and quaternion Lie groups.

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