Geodesic
Deformation of spectrum and length spectrum on some compact nilmanifolds under the Ricci flow
Eurasian mathematical journal, Tome 9 (2018) no. 1, pp. 11-29

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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. 
@article{EMJ_2018_9_1_a1,
     author = {S. Azami and A. Razavi},
     title = {Deformation of spectrum and length spectrum on some compact nilmanifolds under the {Ricci} flow},
     journal = {Eurasian mathematical journal},
     pages = {11--29},
     publisher = {mathdoc},
     volume = {9},
     number = {1},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EMJ_2018_9_1_a1/}
}
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S. Azami; A. Razavi. Deformation of spectrum and length spectrum on some compact nilmanifolds under the Ricci flow. Eurasian mathematical journal, Tome 9 (2018) no. 1, pp. 11-29. http://geodesic.mathdoc.fr/item/EMJ_2018_9_1_a1/