Results 21 to 30 of about 1,532 (136)
Uniform distribution in solvmanifolds
Advances in Mathematics, 1971 L. Auslander, Jonathan Brezin
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Pseudo-Riemannian Sasaki solvmanifolds [PDF]
, 2022 We study a class of left-invariant pseudo-Riemannian Sasaki metrics on solvable Lie groups, which can be characterized by the property that the zero level set of the moment map relative to the action of some one-parameter subgroup $\{\exp tX\}$ is a normal nilpotent subgroup commuting with $\{\exp tX\}$, and $X$ is not lightlike.
Diego Conti +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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Cohomologically symplectic solvmanifolds are symplectic [PDF]
Journal of Symplectic Geometry, 2011 We consider aspherical manifolds with torsion-free virtually polycyclic fundamental groups, constructed by Baues. We prove that if those manifolds are cohomologically symplectic then they are symplectic. As a corollary we show that cohomologically symplectic solvmanifolds are symplectic.
Hisashi Kasuya
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Infra-solvmanifolds of dimension four [PDF]
Bulletin of the Australian Mathematical Society, 2000 The article states some results obtained by the author in his thesis: The author considers compact 4-manifolds that are the quotient of some simply connected solvable Lie group \(S\) by an isometric action of a group \(\Gamma\). When \(S\) is solvable it has been shown that the isomorphism class of the fundamental group of such a manifold determines ...
Robin J. Cobb
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Weyl-Einstein structures on conformal solvmanifolds [PDF]
Geometriae Dedicata, 2022 A conformal Lie group is a conformal manifold (M, c) such that M has a Lie group structure and c is the conformal structure defined by a left-invariant metric g on M. We study Weyl-Einstein structures on conformal solvable Lie groups and on their compact
Viviana del Barco +2 more
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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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Tessellations of solvmanifolds [PDF]
Transactions of the American Mathematical Society, 1998 Let A A be a closed subgroup of a connected, solvable Lie group G G , such that the homogeneous space A ∖ G A\backslash G is simply connected. As a special case of a theorem of C. T. C. Wall, it is known that every tessellation A ∖ G /
Dave Witte, Dave Witte
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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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