Difference between revisions of "Solv manifold, compact"
From Encyclopedia of Mathematics
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<table><TR><TD valign="top">[a1]</TD> <TD valign="top"> G.D. Mostow, "Cohomology of topological groups and solvmanifolds" ''Ann. of Math.'' , '''73''' (1961) pp. 20–48</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top"> R.W. Johnson, "Presentations of solvmanifolds" ''Ann. of Math.'' , '''94''' (1972) pp. 82–102</TD></TR></table> | <table><TR><TD valign="top">[a1]</TD> <TD valign="top"> G.D. Mostow, "Cohomology of topological groups and solvmanifolds" ''Ann. of Math.'' , '''73''' (1961) pp. 20–48</TD></TR><TR><TD valign="top">[a2]</TD> <TD valign="top"> R.W. Johnson, "Presentations of solvmanifolds" ''Ann. of Math.'' , '''94''' (1972) pp. 82–102</TD></TR></table> | ||
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Revision as of 13:51, 12 January 2015
compact solvmanifold
A compact quotient space of a connected solvable Lie group (cf. Lie group, solvable; sometimes, however, compactness is not required). A particular case is a nil manifold. Compared with the latter the general case is considerably more complicated, but there is a complete structure theory for it too.
References
| [1] | L. Auslander, "An exposition of the structure of solvmanifolds. Part I: Algebraic theory" Bull. Amer. Math. Soc. , 79 : 2 (1973) pp. 227–261 |
Comments
Cf. also Solv manifold.
References
| [a1] | G.D. Mostow, "Cohomology of topological groups and solvmanifolds" Ann. of Math. , 73 (1961) pp. 20–48 |
| [a2] | R.W. Johnson, "Presentations of solvmanifolds" Ann. of Math. , 94 (1972) pp. 82–102 |
test
How to Cite This Entry:
Solv manifold, compact. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Solv_manifold,_compact&oldid=12233
Solv manifold, compact. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Solv_manifold,_compact&oldid=12233
This article was adapted from an original article by D.V. Anosov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article