|
Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 2, Pages 300–319
(Mi smj1959)
|
|
|
|
This article is cited in 4 scientific papers (total in 4 papers)
Compact solvmanifolds of dimension at most 4
V. V. Gorbatsevich Moscow State Aviation Technological University
Abstract:
We study compact solvmanifolds of dimension 3 and 4 (the cases of dimension 1 and 2 are almost trivial). We give a detailed description of these solvmanifolds up to diffeomorphism in terms of the fundamental group and its decomposition into a semidirect product. We study the peculiarities of the topological structure of the solvmanifolds of this type; in particular, those connected with the Mostov fibration and the decomposability of solvmanifolds into a direct product of manifolds of less dimension. We distinguish special classes of these solvmanifolds and the corresponding classes of fundamental groups.
Keywords:
solvmanifold, Mostov fibration.
Received: 15.10.2007
Citation:
V. V. Gorbatsevich, “Compact solvmanifolds of dimension at most 4”, Sibirsk. Mat. Zh., 50:2 (2009), 300–319; Siberian Math. J., 50:2 (2009), 239–252
Linking options:
https://www.mathnet.ru/eng/smj1959 https://www.mathnet.ru/eng/smj/v50/i2/p300
|
Statistics & downloads: |
Abstract page: | 391 | Full-text PDF : | 110 | References: | 73 | First page: | 5 |
|