Minimal entropy and geometric decompositions in dimension four

DOI10.2140/agt.2009.9.365zbMath1160.37321arXivmath/0601759OpenAlexW2120497250MaRDI QIDQ1007215

Pablo Suárez-Serrato

Publication date: 20 March 2009

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601759

zbMATH Keywords

geometric structuresgeodesic flowsminimal entropy

Mathematics Subject Classification ID

Homogeneous spaces (22F30) General geometric structures on low-dimensional manifolds (57M50) Topological entropy (37B40) Geodesic flows in symplectic geometry and contact geometry (53D25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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Cites Work

• Unnamed Item
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• Finite group actions on 3-manifolds
• Volume et entropie minimale des espaces localement symétriques. (Minimal volume and entropy of locally symmetric spaces)
• Geometric 4 manifolds in the sense of Thurston and Seifert 4 manifolds. II
• Geometric 4-manifolds in the sense of Thurston and Seifert 4-manifolds. I
• Homological invariance for asymptotic invariants and systolic inequalities
• Volume and bounded cohomology
• 4-manifolds with large symmetry groups
• Geometric structures on compact complex analytic surfaces
• Collapsing Riemannian manifolds while keeping their curvature bounded. I
• Harmonic and Riemannian foliations
• Topological entropy for geodesic flows
• Isotopie de formes fermées en dimension trois
• The Gromov invariant of negatively curved manifolds
• Geodesic foliations by circles
• Lattices in spaces of nonpositive curvature
• Diffeomorphism groups of Waldhausen manifolds
• A theorem on differential rigidity
• Kodaira dimension and the Yamabe problem
• Geodesic flows
• Minimal entropy and collapsing with curvature bounded from below
• Counterexamples to the Kneser conjecture in dimension four
• Flat manifolds with parallel torsion
• On discontinuous groups operating on the product of the upper half planes
• Entropies, Volumes, and Einstein Metrics
• 2-Sphere Bundles Over Compact Surfaces
• ASYMPTOTIC INVARIANTS OF SMOOTH MANIFOLDS
• Infra-solvmanifolds of dimension four
• Entropy and collapsing of compact complex surfaces
• Foliations with all leaves compact