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pro vyhledávání: '"Cartier, Sébastien"'
Autor:
Cartier, Sébastien
Ce mémoire porte sur l'étude des surfaces minimales et de courbure moyenne constante dans les espaces homogènes de dimension 3. Nous établissons les formules de Sym-Bobenko pour les surfaces de courbure moyenne constante 1/2 de H^2xR et minimales
Externí odkaz:
http://www.theses.fr/2011PEST1007/document
Autor:
Cartier, Sébastien
We construct most symmetric Saddle towers in Heisenberg space i.e. periodic minimal surfaces that can be seen as the desingularization of vertical planes intersecting equiangularly. The key point is the construction of a suitable barrier to ensure th
Externí odkaz:
http://arxiv.org/abs/1406.6610
Autor:
Cartier, Sébastien
Publikováno v:
Comptes Rendus Math\'ematique 351, 21-22 (2013) 825--827
We give an immersion formula, the Sym-Bobenko formula, for minimal surfaces in the 3-dimensional Heisenberg space. Such a formula can be used to give a generalized Weierstrass type representation and construct explicit examples of minimal surfaces.
Externí odkaz:
http://arxiv.org/abs/1309.3170
Autor:
Cartier, Sébastien
We give explicit formul{\ae} for Noether invariants associated to Killing vector fields for the variational problem of minimal and constant mean curvature surfaces in 3-manifolds. In the case of homogeneous spaces, such invariants are the flux (assoc
Externí odkaz:
http://arxiv.org/abs/1303.6391
Autor:
Cartier, Sébastien, Hauswirth, Laurent
Publikováno v:
Communications in Analysis and Geometry 22, 1 (2014) 109--148
We study constant mean curvature 1/2 surfaces in H2xR that admit a compactification of the mean curvature operator. We show that a particular family of complete entire graphs over H2 admits a structure of infinite dimensional manifold with local cont
Externí odkaz:
http://arxiv.org/abs/1203.0760
Autor:
Gouin, Antoine, Damm, Cédric, Wood, Grégory, Cartier, Sébastien, Borel, Marie, Villette-Baron, Karen, Boet, Sylvain, Compère, Vincent, Dureuil, Bertrand
Publikováno v:
In Anaesthesia Critical Care & Pain Medicine February 2017 36(1):21-26
Autor:
Cartier, Sébastien, Hauswirth, Laurent
Publikováno v:
Communications in Analysis and Geometry
Communications in Analysis and Geometry, 2014, 22 (1), pp.109--148. ⟨10.4310/CAG.2014.v22.n1.a2⟩
Communications in Analysis and Geometry, International Press, 2014, 22 (1), pp.109--148. ⟨10.4310/CAG.2014.v22.n1.a2⟩
Communications in Analysis and Geometry, 2014, 22 (1), pp.109--148. ⟨10.4310/CAG.2014.v22.n1.a2⟩
Communications in Analysis and Geometry, International Press, 2014, 22 (1), pp.109--148. ⟨10.4310/CAG.2014.v22.n1.a2⟩
We study constant mean curvature 1/2 surfaces in H2xR that admit a compactification of the mean curvature operator. We show that a particular family of complete entire graphs over H2 admits a structure of infinite dimensional manifold with local cont
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80d9edf3796afd6772c00ebdd022f870
https://hal.archives-ouvertes.fr/hal-00676084
https://hal.archives-ouvertes.fr/hal-00676084
Akademický článek
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Autor:
Cartier, Sébastien
Publikováno v:
Mathématiques générales [math.GM]. Université Paris-Est, 2011. Français. ⟨NNT : 2011PEST1007⟩
The present dissertation deals with the study of minimal and constant mean curvature surfaces in 3-dimensional homogeneous spaces. In a first part, we establish Sym-Bobenko formulæ for constant mean curvature 1/2 surfaces in H^2xR and minimal surfac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=od______2100::927899ed997b5fb67960dda8a1e1e431
https://tel.archives-ouvertes.fr/tel-00672332/file/TH2011PEST1007_complete.pdf
https://tel.archives-ouvertes.fr/tel-00672332/file/TH2011PEST1007_complete.pdf
Akademický článek
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