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The horizon of SOL

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Publication:1275215
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zbMath0939.53042MaRDI QIDQ1275215

Marc Troyanov

Publication date: 27 January 2000

Published in: Expositiones Mathematicae (Search for Journal in Brave)


zbMATH Keywords

horizongeodesic flow


Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Nilpotent and solvable Lie groups (22E25) Differential geometry of symmetric spaces (53C35) Geodesic flows in symplectic geometry and contact geometry (53D25)


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An Interpolation From Sol to Hyperbolic Space ⋮ Real-Time Visualization in Anisotropic Geometries ⋮ Ray-Marching Thurston Geometries ⋮ Killing magnetic curves in Sol space ⋮ Discrete random walks on the group Sol ⋮ Invariant translators of the solvable group ⋮ Minimal translation surfaces in Sol\(_{3}\) ⋮ Translation surfaces of finite type in ${\rm Sol}_{3}$ ⋮ Homogeneous Weyl connections of non-positive curvature ⋮ Magnetic curves in Sol3 ⋮ A conformal de Rham complex ⋮ Surfaces with constant mean curvature in sol geometry ⋮ Unnamed Item ⋮ The \(L_{pq}\)-cohomology of \(\text{SOL}^{(*)}\) ⋮ The spheres of Sol ⋮ Generalizations of Killing vector fields in sol space



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