Results 11 to 20 of about 1,005 (125)
$G_2$-structures on flat solvmanifolds [PDF]
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2022 19 pages, 2 ...
Alejandro Tolcachier
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$G_2$-structures on Einstein solvmanifolds [PDF]
Asian Journal of Mathematics, 2015 We study the $G_2$ analogue of the Goldberg conjecture on non-compact solvmanifolds. In contrast to the almost-K hler case we prove that a 7-dimensional solvmanifold cannot admit any left-invariant calibrated $G_2$-structure $ $ such that the induced metric $g_ $ is Einstein, unless $g_ $ is flat.
Marisa Fernández +2 more
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The Anosov theorem for exponential solvmanifolds [PDF]
Pacific 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.
Edward C. Keppelmann, Christopher McCord
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Indefinite Nilsolitons and Einstein Solvmanifolds [PDF]
The 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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A compact non‐formal closed G2 manifold with b1=1$b_1=1$
Mathematische Nachrichten, Volume 295, Issue 8, Page 1562-1590, August 2022., 2022 Abstract We construct a compact manifold with a closed G2 structure not admitting any torsion‐free G2 structure, which is non‐formal and has first Betti number b1=1$b_1=1$. We develop a method of resolution for orbifolds that arise as a quotient M/Z2$M/{{\mathbb {Z}}_2}$ with M a closed G2 manifold under the assumption that the singular locus carries a
Lucía Martín‐Merchán
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Dold sequences, periodic points, and dynamics
Bulletin of the London Mathematical Society, Volume 53, Issue 5, Page 1263-1298, October 2021., 2021 Abstract In this survey we describe how the so‐called Dold congruence arises in topology, and how it relates to periodic point counting in dynamical systems.
Jakub Byszewski +2 more
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Tachyonic de Sitter Solutions of 10d Type II Supergravities
Fortschritte der Physik, Volume 69, Issue 7, July 2021., 2021 Abstract Cosmological models of the early or late universe exhibit (quasi) de Sitter space‐times with different stability properties. Considering models derived from string theory, the swampland program does not provide for now a definite characterisation of this stability.
David Andriot
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On Some Structural Components of Nilsolitons
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, we study nilpotent Lie algebras that admit nilsoliton metric with simple pre‐Einstein derivation. Given a Lie algebra η, we would like to compute as much of its structure as possible. The structural components we consider in this study are the structure constants, the index, and the rank of the nilsoliton derivations.
Hulya Kadioglu, Mustafa Inc
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Kahler Structures on Compact Solvmanifolds [PDF]
Proceedings of the American Mathematical Society, 1990 In a previous paper, the authors proved that the only compact nilmanifolds Γ ∖ G \Gamma \backslash G which admit Kähler structures are tori. Here we consider a more general class of homogeneous spaces Γ ∖ G \Gamma \backslash G , where G G is a ...
Chal Benson, Carolyn S. Gordon
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Hypercomplex Almost Abelian Solvmanifolds
The Journal of Geometric Analysis, 2023 Minor ...
Adrián Andrada, María Laura Barberis
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