Results 91 to 100 of about 444 (112)

Characteristic Classes of Compact Solvmanifolds

The Annals of Mathematics, 1962
A solvmanifold (nilmanifold) is the homogeneous space of a connected solvable (nilpotent) Lie group. A theorem of A. I. Malcev [3] states that a nilmanifold can always be expressed as the quotient of a nilpotent Lie group by a discrete subgroup. From this it follows easily that nilmanifolds are parallelizable.
Auslander, Louis, Szczarba, R. H.
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SYZ mirror symmetry of solvmanifolds [PDF]

Annali Di Matematica Pura Ed Applicata
We present an effective construction of non-Kaehler supersymmetric mirror pairs in the sense of Lau,Tseng and Yau starting from left-invariant affine structures on Lie groups. Applying this construction we explicitly find SYZ mirror symmetric partners of
Vannini, Alessandro, Bedulli, Lucio
exaly   +2 more sources

Fibre techniques in Nielsen periodic point theory on nil and solvmanifolds II [PDF]

Topology and Its Applications, 2000
In the first paper we showed for all maps f on nilmanifolds, and for weakly Jiang maps on solvmanifolds, that the Nielsen periodic numbers NPn(f) and NΦn(f) can be computed from the (highly computable) collection of ordinary Nielsen numbers {N(fm):m|n} .
Philip R. Heath, Keppelmann, Edward C., Heath, Philip R., Edward C. Keppelmann   +3 more
exaly   +2 more sources

INFRA-SOLVMANIFOLDS OF TYPE (R)

The Quarterly Journal of Mathematics, 1995
Für eine einfach zusammenhängende auflösbare Liesche Gruppe \(G\) wird das semidirekte Produkt \(\text{Aff} (G):=\Aut (G) \ltimes G\) als affine Gruppe von \(G\) bezeichnet. Ist nun \(\Gamma\) ein cokompaktes Gitter in \(G\) und \(\pi\leq\text{Aff}(G)\) eine torsionsfreie endliche Erweiterung von \(\Gamma\), \(\Gamma \vartriangleleft \pi\), so nennt ...
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Presentations of Solvmanifolds

American Journal of Mathematics, 1972
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Splitting Theorems and the Structure of Solvmanifolds

The Annals of Mathematics, 1970
Auslander, Louis, Tolimieri, Richard
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Curvatures on Vaisman solvmanifolds

Kodai Mathematical Journal
A locally conformal Kähler manifold \((M^{2n}, g, J)\) is called a Vaisman manifold if its Lee form is parallel with respect to the Levi-Civita connection \(\nabla \) of the metric \(g\). Denote \(H\) the \((2n+1)\)-dimensional Heisenberg Lie group and \(\Gamma \) a lattice in \(H\). A Kodaira-Thurston manifold is a nilmanifold \(S^1 \times \Gamma /H\).
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Solvmanifolds

1997
Aleksy Tralle, John Oprea
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An averaging formula for Nielsen numbers on infra-solvmanifolds

Journal of Fixed Point Theory and Applications, 2022
Karel Dekimpe
exaly  

Group extensions and free actions by finite groups on solvmanifolds

Mathematische Nachrichten, 2010
Jang Hyun Jo
exaly