Results 41 to 50 of about 163 (116)
Periodic points on nilmanifolds and solvmanifolds [PDF]
Pacific Journal of Mathematics, 1994 Let \(M\) be a compact manifold and \(f:M \to M\) a self map on \(M\). For any natural number \(n\), the \(n\)-th iterate of \(f\) is the \(n\)-fold composition \(f^ n:M \to M\). The fixed point set of \(f\) is \(\text{fix} (f)=\{x \in M:f(x)=x\}\). We say that \(x \in M\) is a periodic point of \(f\) is \(x\) is a fixed point of some \(f^ n\) and we ...
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Classification of compact complex homogeneous manifolds with pseudo-kählerian structures [PDF]
, 2010 In this paper, we apply a modification theorem for a compact homogeneous solvmanifold to compact complex homogeneous manifolds with pseudo-kählerian structures.
Daniel Guan, Guan, Daniel
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Supersymmetric scale-separated AdS3 orientifold vacua of type IIB
Journal of High Energy PhysicsI construct supersymmetric AdS3 vacua of type IIB string theory that exhibit parametric scale separation in the controlled regime. These solutions arise from compactifications on seven-dimensional manifolds equipped with co-closed G 2-structures, in the ...
Vincent Van Hemelryck
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, 2003 Compact Kähler solvmanifolds are classified up to biholomorphism. A proof of a conjecture Benson and Gordon, that completely solvable compact Kähler solvmanifolds are tori is deduced from this. The main ingredient in the proof is a restriction theorem for polycyclic Kähler groups proved by Nori and the author.
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Examples of Compact Lefschetz Solvmanifolds
Tokyo Journal of Mathematics, 2002 A symplectic manifold \((M^{2m},\omega)\) is called a Lefschetz manifold if the mapping \(\wedge\omega^{m-1}: H^1_{DR}\to H^{2m-1}_{DR}\) on \(M\) is an isomorphism. By a solvmanifold is meant a homogeneous space \(G/\Gamma\) where \(G\) is a simply connected solvable Lie group and \(\Gamma\) is a lattice.
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Maximal symmetry and unimodular solvmanifolds [PDF]
Pacific Journal of Mathematics, 2019 Recently, it was shown that Einstein solvmanifolds have maximal symmetry in the sense that their isometry groups contain the isometry groups of any other left-invariant metric on the given Lie group. Such a solvable Lie group is necessarily non-unimodular.
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Homotopy minimal periods for maps of three-dimensional solvmanifolds [PDF]
, 2008 A natural number m is called a homotopy minimal period of a map f:X→X if every map g homotopic to f has periodic points of minimal period m. In this paper we give a description for the sets of homotopy minimal periods of maps of all compact solvmanifolds
Marzantowicz, Wacław +2 more
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On the structure of complex solvmanifolds [PDF]
Journal of Differential Geometry, 1988 A connected complex space X is called a solvmanifold if there is a connected complex solvable Lie group G which acts holomorphically and transitively on it. The aim of the paper is to study two classes of solvmanifolds: i) X is Kähler, ii) X is separable by analytic hypersurfaces.
Oeljeklaus, Karl, Richthofer, Wolfgang
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Compact solvmanifolds with calibrated and cocalibrated G2-structures [PDF]
, 2020 We give a method to obtain new solvable 7-dimensional Lie algebras endowed with closed and coclosed G2-structures starting from 6-dimensional solvable Lie algebras with symplectic half-flat and half-flat SU(3)-structures, respectively.
Manero García, Víctor Manuel
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On the d-invariant of compact solvmanifolds.
Journal für die reine und angewandte Mathematik (Crelles Journal), 1985 Let G be a connected real Lie group and \(\Gamma\) a closed subgroup of G. Then \(\Gamma\) is called a lattice if G/\(\Gamma\) is compact. Every basis of the Lie algebra \({\mathfrak g}\) of G determines a parallelization of G/\(\Gamma\) and hence by the Thom-Pontryagin construction an element [G/\(\Gamma\) ], the stable homotopy of spheres. Earlier by
Singhof, W., Deninger, Ch.
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