23 citations · 81 across the 24 of their papers we have counts for
23 papers · 1 filter
Tensile minimal surfaces and thread boundary problems
Romane Boutillier, Laurent Hauswirth, Magdalena Rodríguez
Minimal surfaces bounded by cables or threads arise naturally in tensile architecture: a membrane under uniform tension takes the shape of a minimal surface, and its flexible, inex…
Free boundary minimal annuli immersed in the unit ball
Isabel Fernandez, Laurent Hauswirth, Pablo Mira
We construct a family of compact free boundary minimal annuli immersed in the unit ball of , the first such examples other than the critical catenoid.…
Construction of minimal annuli in PSL2 via a variational method
Pascal Collin, Laurent Hauswirth, Minh Hoang Nguyen
We construct complete, embedded minimal annuli asymptotic to vertical planes in the Riemannian 3-manifold PSL. The boundary of these annuli consists of 4 vertical lines at infinity…
Slab Theorem and Halfspace Theorem for constant mean curvature surfaces in
Laurent Hauswirth, Ana Menezes, Magdalena Rodriguez
We prove that a properly embedded annular end of a surface in with constant mean curvature can not be contained in any horizontal…
Erratum to "Minimal surfaces in finite volume noncompact hyperbolic -manifolds"
Pascal Collin, Laurent Hauswirth, Laurent Mazet +1
This paper contains a correction of a mistake made in arXiv:1405.1324
On the characterization of minimal surfaces with finite total curvature in and
Laurent Hauswirth, Ana Menezes, Magdalena Rodríguez
It is known that a complete immersed minimal surface with finite total curvature in is proper, has finite topology and each one of its ends is asymptot…
On mean-convex Alexandrov embedded surfaces in the 3-sphere
Laurent Hauswirth, Martin Kilian, Martin Ulrich Schmidt
We consider mean-convex Alexandrov embedded surfaces in the round unit 3-sphere, and show under which conditions it is possible to continuously deform these preserving mean-convex…
Minimal surfaces in finite volume non compact hyperbolic -manifolds
Pascal Collin, Laurent Hauswirth, Laurent Mazet +1
We prove there exists a compact embedded minimal surface in a complete finite volume hyperbolic -manifold . We also obtain a least area, incompressible, properly em…
Mean-convex Alexandrov embedded constant mean curvature tori in the 3-sphere
L. Hauswirth, M. Kilian, M. U. Schmidt
We introduce the moduli space of spectral curves of constant mean curvature (\cmc\hspace{-5pt}) cylinders of finite type in the round unit 3-sphere. The subset of spectral curves o…
On doubly periodic minimal surfaces in with finite total curvature in the quotient space
Laurent Hauswirth, Ana Menezes
In this paper we develop the theory of properly immersed minimal surfaces in the quotient space where is a subgroup of isometries generated by a…
Properly immersed minimal surfaces in a slab of H(2)xR, H(2) the hyperbolic plane
Pascal Collin, Laurent Hauswirth, Harold Rosenberg
We prove that the ends of a properly immersed simply or one connected minimal surface in H(2)xR contained in a slab of height less than πof H(2)xR, are multi-graphs. When such a su…
Minimal surfaces in finite volume hyperbolic 3-manifolds N and in MxS(1), M a finite area hyperbolic surface
Pascal Collin, Laurent Hauswirth, Harold Rosenberg
We consider properly immersed finite topology minimal surfaces S in complete finite volume hyperbolic 3-manifolds N, and in M x S(1), where M is a complete hyperbolic surface of fi…
Properly embedded minimal annuli in
L. Hauswirth, M. Kilian, M. U. Schmidt
In there is a two-parameter family of properly embedded minimal annuli foliated by circles. In this paper we show that this family contains all pro…
Finite type minimal annuli in
L. Hauswirth, M. Kilian, M. U. Schmidt
We study minimal annuli in of finite type by relating them to harmonic maps of finite type. We rephrase an iteration…
Deformations of constant mean curvature 1/2 surfaces in H2xR with vertical ends at infinity
Sébastien Cartier, Laurent Hauswirth
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…
Minimal ends in H2xR with finite total curvature and a Schoen type theorem
Laurent Hauswirth, Barbara Nelli, Ricardo Sa Earp +1
In this paper we prove that a complete minimal surface immersed in H^2xR, with finite total curvature and two ends, each one asymptotic to a vertical geodesic plane, must be a hori…
Surfaces of constant curvature in R^3 with isolated singularities
Jose A. Galvez, Laurent Hauswirth, Pablo Mira
We prove that finite area isolated singularities of surfaces with constant positive curvature in R^3 are removable singularities, branch points or immersed conical singularities. W…
An end-to-end-construction for singly periodic minimal surfaces
Laurent Hauswirth, Filippo Morabito, Magdalena Rodriguez
We show the existence of various families of properly embedded singly periodic minimal surfaces in R^3 with finite arbitrary genus and Scherk type ends in the quotient. The proof o…
Half-space theorem, embedded minimal annuli and minimal graphs in the Heisenberg group
Benoit Daniel, Laurent Hauswirth
We construct a one-parameter family of properly embedded minimal annuli in the Heisenberg group Nil_3 endowed with a left-invariant Riemannian metric. These annuli are not rotation…
Associate and conjugate minimal immersions in MxR
Laurent Hauswirth, Ricardo Sa Earp, Eric Toubiana
We consider minimal immersions in MxR. We study existence and uniqueness of associate and conjugate isometric immersions to a given minimal surface. We use the theory of univalent…
Higher genus Riemann minimal surfaces
Laurent Hauswirth, Frank Pacard
We construct higher genus Riemann's minimal surfaces properly embedded in the Euclidean space. To do that we glue end by end a Costa-Hoffman-Meeks examples to two halves genus zero…
Generalized Riemann minimal surfaces examples in three-dimensional manifolds products
L. Hauswirth
In this paper, we construct and classify minimal surfaces foliated by horizontal constant curvature curves in product manifolds , where is the hyperbolic plane, th…
The geometry of finite topology Bryant surfaces
Pascal Collin, Laurent Hauswirth, Harold Rosenberg
In this paper we shall establish that properly embedded constant mean curvature one surfaces in H^3 of finite topology are of finite total curvature and each end is regular. In par…