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

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

A Basmajian-type inequality for Riemannian surfaces

Authors: Balacheff, Florent, Fisac, David

Subject Terms: Mathematics - Differential Geometry, Mathematics - Geometric Topology, Primary: 53C23, 53C22. Secondary: 57K20

Access URL: http://arxiv.org/abs/2311.03182

Short incompressible graphs and $2$-free groups

Authors: Balacheff, Florent, Pitsch, Wolfgang

Subject Terms: Mathematics - Differential Geometry, Mathematics - Geometric Topology, Primary: 53C23, Secondary: 20F05, 20F34

Access URL: http://arxiv.org/abs/2304.10924

Projective transformations of convex bodies and volume product

Authors: Balacheff, Florent, Solanes, Gil, Tzanev, Kroum

Subject Terms: Mathematics - Metric Geometry, Mathematics - Differential Geometry, 52A20, 52A40 (Primary) 52A38 (Secondary)

Access URL: http://arxiv.org/abs/2303.17794

Isosystolic inequalities on two-dimensional Finsler tori

Authors: Balacheff, Florent, de Mora, Teo Gil Moreno

Subject Terms: Mathematics - Differential Geometry, Mathematics - Geometric Topology, Mathematics - Metric Geometry, 53C23

Access URL: http://arxiv.org/abs/2201.05010

The Santal\'o point for the Holmes-Thompson boundary area

Authors: Balacheff, Florent, Solanes, Gil, Tzanev, Kroum

Source: Advances in Mathematics, Vol. 397 (2022), Paper No. 108118

Subject Terms: Mathematics - Metric Geometry, Mathematics - Differential Geometry, Primary: 52A20, 52A40, 53C65. Secondary: 52A38

Access URL: http://arxiv.org/abs/2012.11440

Systoles and diameters of hyperbolic surfaces

Authors: Balacheff, Florent, Despré, Vincent, Parlier, Hugo

Source: Kyoto Journal of Mathematics, Vol. 63 (2023), 211-222

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

Access URL: http://arxiv.org/abs/2011.03455

A curvature-free Log(2k-1) Theorem

Authors: Balacheff, Florent, Merlin, Louis

Source: Proceedings of the American Mathematical Society, Vol. 151 (2023), 2429-2434

Subject Terms: Mathematics - Geometric Topology, Mathematics - Differential Geometry, Mathematics - Metric Geometry, 30F40, 53C23

Access URL: http://arxiv.org/abs/1909.06124

A curvature-free Log(2k — 1) theorem

Authors: Balacheff, Florent, Merlin, Louis

Source: Proceedings of the American Mathematical Society. 151(6):2429-2434

Availability: http://explore.bl.uk/primo_library/libweb/action/display.do?tabs=detailsTab&gathStatTab=true&ct=display&fn=search&doc=ETOCRN632219797&indx=1&recIds=ETOCRN632219797

Minimal length product over homology bases of manifolds

Authors: Balacheff, Florent, Karam, Steve, Parlier, Hugo

Source: Mathematische Annalen, Vol. 380 (2021), 825-854

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

Access URL: http://arxiv.org/abs/1810.08058

Macroscopic Schoen conjecture for manifolds with non-zero simplicial volume

Authors: Balacheff, Florent, Karam, Steve

Source: Transactions of the American Mathematical Society, Vol. 372 (2019), 7071-7086

Subject Terms: Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/1709.10049

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Length product of homologically independent loops for tori

Authors: Balacheff, Florent, Karam, Steve

Source: Journal of Topology and Analysis, Vol. 8 (2016), No 3, 497-500

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

Access URL: http://arxiv.org/abs/1506.06504

Systolic geometry and simplicial complexity for groups

Authors: Babenko, Ivan, Balacheff, Florent, Bulteau, Guillaume

Source: Journal f\"ur die reine und angewandte Mathematik, Vol. 757 (2019), 247-277

Subject Terms: Mathematics - Geometric Topology, Mathematics - Differential Geometry, Mathematics - Group Theory, 53C23

Access URL: http://arxiv.org/abs/1501.01173

Measurements of Riemannian two-disks and two-spheres

Authors: Balacheff, Florent

Source: Pacific J. Math. 275 (2015) 167-181

Subject Terms: Mathematics - Differential Geometry

Access URL: http://arxiv.org/abs/1401.7184

Isosystolic inequalities for optical hypersurfaces

Authors: Paiva, Juan-Carlos Alvarez, Balacheff, Florent, Tzanev, Kroum

Source: Advances in Mathematics, Vol. 301 (2016), 934-972

Subject Terms: Mathematics - Differential Geometry, Mathematics - Metric Geometry, Mathematics - Symplectic Geometry, 53C23, 52C07

Access URL: http://arxiv.org/abs/1308.5522

Systole growth for finite area hyperbolic surfaces

Authors: Balacheff, Florent, Makover, Eran, Parlier, Hugo

Source: Annales de la Facult\'e des Sciences de Toulouse, Vol. 23 (2014), No 1, 175-180

Subject Terms: Mathematics - Geometric Topology, Mathematics - Differential Geometry, 30F10

Access URL: http://arxiv.org/abs/1201.3468