Laurent Mazet

Documents

Publications

	Minimal planes in asymptotically flat three-manifolds Laurent Mazet , Harold Rosenberg Journal of Differential Geometry, 2022, 120 (3), ⟨10.4310/jdg/1649953568⟩ Article dans une revue hal-01768219v1
	$f$-extremal domains in hyperbolic space José M. Espinar , Alberto Farina , Laurent Mazet Calculus of Variations and Partial Differential Equations, 2021, 60 (3), pp.112. ⟨10.1007/s00526-021-01964-0⟩ Article dans une revue hal-01274074v1
	Minimal surfaces near short geodesics in hyperbolic 3-manifolds Harold Rosenberg , Laurent Mazet Advances in Mathematics, 2020, 372, ⟨10.1016/j.aim.2020.107285⟩ Article dans une revue hal-01546786v1
	Minimal graphs over Riemannian surfaces and harmonic diffeomorphisms Laurent Mazet , M. Magdalena Rodriguez , Harold Rosenberg American Journal of Mathematics, 2019, 141 (5), pp.1149--1177. ⟨10.1353/ajm.2019.0029⟩ Article dans une revue hal-01346758v1
	Characterization of $f$-extremal disks José M. Espinar , Laurent Mazet Journal of Differential Equations, 2019, 266 (4), pp.2052-2077. ⟨10.1016/j.jde.2018.08.020⟩ Article dans une revue hal-01390769v1
	Minimal surfaces in finite volume non compact hyperbolic $3$-manifolds Pascal Collin , Laurent Hauswirth , Laurent Mazet , Harold Rosenberg Transactions of the American Mathematical Society, 2017, 369 (6), pp.4293-4309. ⟨10.1090/tran/6859⟩ Article dans une revue hal-01015056v1
	Minimal hypersurfaces asymptotic to Simons cones Laurent Mazet Journal of the Institute of Mathematics of Jussieu, 2017, 16 (1), pp.39-58. ⟨10.1017/S1474748015000110⟩ Article dans une revue hal-01023094v1
	Minimal hypersurfaces of least area Laurent Mazet , Harold Rosenberg Journal of Differential Geometry, 2017, 106 (2), pp.283-315. ⟨10.4310/jdg/1497405627⟩ Article dans une revue hal-01130024v1
	A half-space theorem for graphs of constant mean curvature $0< H < 1/2$ in $H^2\times R$ Laurent Mazet , Wanderley A. Gabriela Illinois Journal of Mathematics, 2015, 59 (1), pp.43-53 Article dans une revue hal-01084341v1
	The half space property for cmc 1/2 graphs in $\mathbb E(-1,\tau)$ Laurent Mazet Calculus of Variations and Partial Differential Equations, 2015, 52 (3-4), pp.661-680. ⟨10.1007/s00526-014-0728-7⟩ Article dans une revue hal-00802642v1
	Cylindrically bounded constant mean curvature surfaces in $\mathbb H^2\times\mathbb R$ Laurent Mazet Transactions of the American Mathematical Society, 2015, 367, ⟨10.1090/tran/6171⟩ Article dans une revue hal-00720364v1
	On minimal spheres of area $4\pi$ and rigidity Laurent Mazet , Harold Rosenberg Commentarii Mathematici Helvetici, 2014, pp.921--928. ⟨10.4171/CMH/338⟩ Article dans une revue hal-00730816v1
	Periodic constant mean curvature surfaces in $\mathbb H^2\times \mathbb R$ Laurent Mazet , M. Magdalena Rodriguez , Harold Rosenberg Asian Journal of Mathematics, 2014, pp.829--858. ⟨10.4310/AJM.2014.v18.n5.a4⟩ Article dans une revue hal-00627434v1
	A general halfspace theorem for constant mean curvature surfaces Laurent Mazet American Journal of Mathematics, 2013, 135 (3), pp.801-834. ⟨10.1353/ajm.2013.0027⟩ Article dans une revue hal-00502915v1
	The Dirichlet problem for the minimal surface equation -with possible infinite boundary data- over domains in a Riemannian surface Laurent Mazet , M. Magdalena Rodriguez , Harold Rosenberg Proceedings of the London Mathematical Society, 2011, 102 (6), pp.985--1023. ⟨10.1112/plms/pdq032⟩ Article dans une revue hal-00284936v1
	Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity Jerome Bolte , Aris Daniilidis , Olivier Ley , Laurent Mazet Transactions of the American Mathematical Society, 2010, 362 (6), pp.3319-3363. ⟨10.1090/S0002-9947-09-05048-X⟩ Article dans une revue hal-00243094v1
	Adding one handle to half-plane layers Laurent Mazet Journal of Differential Geometry, 2010, 84 (2), pp.389--407 Article dans une revue hal-00082699v1
	Optimal length estimates for stable CMC surfaces in $3$-space forms Laurent Mazet Proceedings of the American Mathematical Society, 2009, 137, pp.2761--2765. ⟨10.1090/S0002-9939-09-09885-2⟩ Article dans une revue hal-00328450v1
	A quasi-periodic minimal surface Laurent Mazet , Martin Traizet Commentarii Mathematici Helvetici, 2008, 83 (3), pp.573--601. ⟨10.4171/CMH/137⟩ Article dans une revue hal-00096161v1
	A uniqueness result for maximal surfaces in Minkowski 3-space Laurent Mazet Comptes rendus de l'Académie des sciences. Série I, Mathématique, 2007, 344 (12), pp.785--790. ⟨10.1016/j.crma.2007.05.014⟩ Article dans une revue hal-00082694v1
	Saddle towers with infinitely many ends Laurent Mazet , M. Magdalena Rodriguez , Martin Traizet Indiana University Mathematics Journal, 2007, 56 (6), pp.2821--2838 Article dans une revue hal-00118104v1

	L. Mazet - Some aspects of minimal surface theory (Part 4) Laurent Mazet , Fanny Bastien , Pauline Martinet 2016 Vidéo medihal-01347268v1
	L. Mazet - Some aspects of minimal surface theory (Part 5) Laurent Mazet , Fanny Bastien , Pauline Martinet 2016 Vidéo medihal-01347272v1
	L. Mazet - Some aspects of minimal surface theory (Part 3) Laurent Mazet , Fanny Bastien , Pauline Martinet 2016 Vidéo medihal-01347266v1
	L. Mazet - Some aspects of minimal surface theory (Part 1) Laurent Mazet , Fanny Bastien , Pauline Martinet 2016 Vidéo medihal-01347250v1
	L. Mazet - Minimal hypersurfaces of least area Laurent Mazet , Fanny Bastien , Pauline Martinet 2016 Vidéo medihal-01347442v1
	L. Mazet - Some aspects of minimal surface theory (Part 2) Laurent Mazet , Fanny Bastien , Pauline Martinet 2016 Vidéo medihal-01347259v1

	Free boundary minimal hypersurfaces outside of the ball Laurent Mazet , Abraão Mendes 2023 Pré-publication, Document de travail hal-03698921v1
	Rigidity of min-max minimal disks in $3$-balls with non-negative Ricci curvature Laurent Mazet , Abraão Mendes 2023 Pré-publication, Document de travail hal-04157042v2
	Rigidity of Riemannian manifolds containing an equator Laurent Mazet 2020 Pré-publication, Document de travail hal-02958594v1

	Construction de surfaces minimales par résolution du problème de Dirichlet Laurent Mazet Mathématiques [math]. Université Paul Sabatier - Toulouse III, 2004. Français. ⟨NNT : ⟩ Thèse tel-00007780v1

Laurent Mazet

Publications

Minimal planes in asymptotically flat three-manifolds

$f$-extremal domains in hyperbolic space

Minimal surfaces near short geodesics in hyperbolic 3-manifolds

Minimal graphs over Riemannian surfaces and harmonic diffeomorphisms

Characterization of $f$-extremal disks

Minimal surfaces in finite volume non compact hyperbolic $3$-manifolds

Minimal hypersurfaces asymptotic to Simons cones

Minimal hypersurfaces of least area

A half-space theorem for graphs of constant mean curvature $0< H < 1/2$ in $H^2\times R$

The half space property for cmc 1/2 graphs in $\mathbb E(-1,\tau)$

Cylindrically bounded constant mean curvature surfaces in $\mathbb H^2\times\mathbb R$

On minimal spheres of area $4\pi$ and rigidity

Periodic constant mean curvature surfaces in $\mathbb H^2\times \mathbb R$

A general halfspace theorem for constant mean curvature surfaces

The Dirichlet problem for the minimal surface equation -with possible infinite boundary data- over domains in a Riemannian surface

Characterizations of Lojasiewicz inequalities: Subgradient flows, talweg, convexity

Adding one handle to half-plane layers

Optimal length estimates for stable CMC surfaces in $3$-space forms

A quasi-periodic minimal surface

A uniqueness result for maximal surfaces in Minkowski 3-space

Saddle towers with infinitely many ends

L. Mazet - Some aspects of minimal surface theory (Part 4)

L. Mazet - Some aspects of minimal surface theory (Part 5)

L. Mazet - Some aspects of minimal surface theory (Part 3)

L. Mazet - Some aspects of minimal surface theory (Part 1)

L. Mazet - Minimal hypersurfaces of least area

L. Mazet - Some aspects of minimal surface theory (Part 2)

Free boundary minimal hypersurfaces outside of the ball

Rigidity of min-max minimal disks in $3$-balls with non-negative Ricci curvature

Rigidity of Riemannian manifolds containing an equator

Construction de surfaces minimales par résolution du problème de Dirichlet