Results 11 to 20 of about 85 (77)

Indefinite Nilsolitons and Einstein Solvmanifolds [PDF]

open access: yesThe Journal of Geometric Analysis, 2022
v2: Presentation improved, bibliography expanded and updated, two missing entries added in Proposition 2.7 and Table 1, Examples 4.11 and 4.19 corrected.
Conti D., Rossi F. A.
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Kahler Structures on Compact Solvmanifolds [PDF]

open access: yesProceedings of the American Mathematical Society, 1990
In a previous paper, the authors proved that the only compact nilmanifolds Γ
Chal Benson, Carolyn S. Gordon
openaire   +2 more sources

$$G_2$$-structures on flat solvmanifolds

open access: yesAbhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022
19 pages, 2 ...
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The Anosov theorem for exponential solvmanifolds [PDF]

open access: yesPacific Journal of Mathematics, 1995
The authors exhibit a class \({\mathcal N} {\mathcal R}\) of compact solvmanifolds such that for any \(S \in {\mathcal N} {\mathcal R}\) and any selfmap \(f : S \to S\) the Nielsen number \(N(f)\) equals the absolute value \(|L(f) |\) of the Lefschetz number.
Keppelmann, Edward C.   +1 more
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Bott–Chern cohomology of solvmanifolds [PDF]

open access: yesAnnals of Global Analysis and Geometry, 2017
We study conditions under which sub-complexes of a double complex of vector spaces allow to compute the Bott-Chern cohomology. We are especially aimed at studying the Bott-Chern cohomology of special classes of solvmanifolds, namely, complex parallelizable solvmanifolds and solvmanifolds of splitting type.
Angella, Daniele, Kasuya, Hisashi
openaire   +2 more sources

On low-dimensional solvmanifolds [PDF]

open access: yesAsian Journal of Mathematics, 2016
105 pages, 36 tables; ad v4: References to other papers ...
openaire   +2 more sources

$G_2$-structures on Einstein solvmanifolds [PDF]

open access: yesAsian Journal of Mathematics, 2015
21 pages.
Fernández, Marisa   +2 more
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Hypercomplex Almost Abelian Solvmanifolds

open access: yesThe Journal of Geometric Analysis, 2023
Minor ...
Adrián Andrada, María Laura Barberis
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Tessellations of solvmanifolds [PDF]

open access: yesTransactions of the American Mathematical Society, 1998
Let A A be a closed subgroup of a connected, solvable Lie group 
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Cohomologically Kähler manifolds with no Kähler metrics

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 52, Page 3315-3325, 2003., 2003
We show some examples of compact symplectic solvmanifolds, of dimension greater than four, which are cohomologically Kähler and do not admit Kähler metric since their fundamental groups cannot be the fundamental group of any compact Kähler manifold. Some of the examples that we study were considered by Benson and Gordon (1990).
Marisa Fernández   +2 more
wiley   +1 more source

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