One-sided complete stable minimal surfaces
By A. Ros. 2006
130 citations recorded by the source corpus.
Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/4680e45871c7281c1b85bcb387f521d02f4fa791
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- W. H. Meeks
- Joaquín Pérez
- Alessandro Carlotto
- B. Sharp
- A. Ros
- L. Ambrozio
- César Rosales
- Manuel Ritor'e
In Astronomy and Astrophysics
- W. H. Meeks
- L. Ambrozio
- Alessandro Carlotto
- B. Sharp
- Joaquín Pérez
- César Rosales
- Manuel Ritor'e
- A. Ros
In Geometry and Topology
- W. H. Meeks
- Joaquín Pérez
- Alessandro Carlotto
- B. Sharp
- A. Ros
- L. Ambrozio
- César Rosales
- Manuel Ritor'e
Citations in the corpus
- The classical theory of minimal surfaces (2011, background): “27 (Schoen [187], Ros [179]) For any homogeneously regular threemanifold N there exists a universal constant c > 0 such that for any stable, minimally”
- Comparing the Morse index and the first Betti number of minimal hypersurfaces (2016, methodology): “Considering flat three dimensional tori, Ros observed that, when a harmonic one-form on a closed minimal surface is viewed as a vector field of R3 along the surface, its coordinates have the behaviour described above.”
- General curvature estimates for stable H-surfaces in 3-manifolds applications (2009, unknown): “As a consequence of the Main Theorem we have the following: Then there exists a constant C , which depends neither on M nor on Λ , such that for any immersed complete stable H -surface Σ M , with trivial normal bundle, we have: This corollary was enunciated by Ros [18] for minimal surfaces (even wit”
- Index estimates for free boundary minimal hypersurfaces (2016, background): “This article was done while A. C. was an ETH-ITS fellow: the outstanding support of Dr. Max Rössler, of the Walter Haefner Foundation and of the ETH Zürich Foundation are gratefully acknowledged.”
- Area-stationary surfaces in the Heisenberg group H1 (2005, background): “Non existence of non-orientable complete stable minimal surfaces in R(3) has been proved by Ros [36].”
- Stable constant mean curvature surfaces (2008, methodology): “15 give a universal curvature estimate for stable H-surfaces in three-manifolds with bounded geometry, see Schoen [52] (see also Ros [48] for the one-sided case).”