One-Cycle Sweepout Estimates of Essential Surfaces in Closed Riemannian Manifolds

Authors: Sabourau, Stéphane

Source: American Journal of Mathematics. 142(4):1051-1082

Availability: https://muse.jhu.edu/article/759926

Complete 3-manifolds of positive scalar curvature with quadratic decay

Authors: Balacheff, Florent, Sardà, Teo Gil Moreno de Mora, Sabourau, Stéphane

Subject Terms: Mathematics - Differential Geometry, Primary 53C23, Secondary 53C21

Access URL: http://arxiv.org/abs/2407.07198

Logarithmic systolic growth for hyperbolic surfaces in every genus

Authors: Katz, Mikhail G., Sabourau, Stephane

Subject Terms: Mathematics - Differential Geometry, 53C45

Access URL: http://arxiv.org/abs/2407.02041

Nonpositively curved surfaces are Loewner

Authors: Katz, Mikhail G., Sabourau, Stephane

Subject Terms: Mathematics - Differential Geometry, Primary 53C20, Secondary 53C23

Access URL: http://arxiv.org/abs/2404.00757

Diastolic and isoperimetric inequalities on surfaces

Authors: Balacheff, Florent, Sabourau, Stéphane

Source: Annales scientifiques de l'\'Ecole Normale Sup\'erieure, S\'erie 4, Tome 43 (2010) no. 4, pp. 579-605

Subject Terms: Mathematics - Differential Geometry, Mathematics - Geometric Topology, 53C23, 53C20, 58E10

Access URL: http://arxiv.org/abs/2402.01554

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Sharp reverse isoperimetric inequalities in nonpositively curved cones

Authors: Katz, Mikhail G., Sabourau, Stephane

Subject Terms: Mathematics - Differential Geometry, Mathematics - Metric Geometry, 53C21, 49Q10

Access URL: http://arxiv.org/abs/2103.04661

A Pu-Bonnesen inequality

Authors: Katz, Mikhail G., Sabourau, Stephane

Subject Terms: Mathematics - Metric Geometry, Mathematics - Differential Geometry, 53C45, 52A38, 53A05, 52A15, 53C20

Access URL: http://arxiv.org/abs/2103.02865

Minimal volume entropy and fiber growth

Authors: Babenko, Ivan, Sabourau, Stéphane

Subject Terms: Mathematics - Geometric Topology

Access URL: http://arxiv.org/abs/2102.04551

Minimal area of Finsler disks with minimizing geodesics

Authors: Cossarini, Marcos, Sabourau, Stéphane

Subject Terms: Mathematics - Metric Geometry, Mathematics - Differential Geometry, 53C23 (Primary) 53C60, 53C65 (Secondary)

Access URL: http://arxiv.org/abs/2010.00701

Sharp upper bounds on the length of the shortest closed geodesic on complete punctured spheres of finite area

Authors: Jabbour, Antonia, Sabourau, Stéphane

Subject Terms: Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/2009.10144

Sweepouts of closed Riemannian manifolds

Authors: Nabutovsky, Alexander, Rotman, Regina, Sabourau, Stéphane

Subject Terms: Mathematics - Differential Geometry, 53C23, 53C20

Access URL: http://arxiv.org/abs/2007.14954

Macroscopic scalar curvature and local collapsing

Authors: Sabourau, Stéphane

Subject Terms: Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/2006.00663

Minimal volume entropy of simplicial complexes

Authors: Babenko, Ivan, Sabourau, Stephane

Subject Terms: Mathematics - Geometric Topology

Access URL: http://arxiv.org/abs/2002.11069

Volume entropy semi-norm

Authors: Babenko, Ivan, Sabourau, Stephane

Subject Terms: Mathematics - Geometric Topology, Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/1909.10803

Systolically extremal nonpositively curved surfaces are flat with finitely many singularities

Authors: Katz, Mikhail, Sabourau, Stephane

Subject Terms: Mathematics - Differential Geometry, 53C23

Access URL: http://arxiv.org/abs/1904.00730

Mixed sectional-Ricci curvature obstructions on tori

Authors: Kloeckner, Benoît, Sabourau, Stéphane

Subject Terms: Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/1707.07876

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