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Manuscripta mathematica, ISSN 0025-2611, 03/2016, Volume 149, Issue 3-4, pp. 507 - 521
Journal Article
The Michigan mathematical journal, ISSN 0026-2285, 12/2014, Volume 63, Issue 4, pp. 675 - 685
Journal Article
Michigan Math. J, 2012, Volume 61, Issue iss. 4, pp. 715 - 729
Journal Article
Mathematische annalen, ISSN 0025-5831, 12/2016, Volume 369, Issue 3-4, pp. 1599 - 1621
We prove a phenomenon of concentration of total curvature for stable minimal surfaces in the product space $$\mathbb H^2 \times \mathbb R,$$ H 2 × R , where... 
53C42 | 53A10 | Mathematics, general | Mathematics | 49Q05
Journal Article
The Bulletin of the London Mathematical Society, ISSN 0024-6093, 08/2019, Volume 51, Issue 4, pp. 639 - 644
We prove that there are no minimal hypersurfaces properly immersed in any region of the Euclidean space bounded by unstable minimal cones. We also prove the... 
53C42 (primary) | 58J05 | 35B50 (secondary) | Physical Sciences | Mathematics | Science & Technology
Journal Article
Calculus of variations and partial differential equations, ISSN 0944-2669, 04/2018, Volume 57, Issue 2, pp. 1 - 21
In this paper, we introduce a special class of hypersurfaces which are called λ-hypersurfaces related to a weighted volume preserving mean curvature flow in... 
53C42 | 53C44 | Geometry | Euclidean geometry | Euclidean space | Mathematical analysis | Curvature
Journal Article
The Michigan mathematical journal, ISSN 0026-2285, 12/2014, Volume 63, Issue 4, pp. 701 - 723
Journal Article
Geometriae dedicata, ISSN 1572-9168, 09/2018, Volume 201, Issue 1, pp. 203 - 225
Journal Article
Michigan Math. J, 2012, Volume 61, Issue iss. 1, pp. 123 - 131
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 8/2017, Volume 196, Issue 4, pp. 1345 - 1364
A Killing submersion is a Riemannian submersion from a 3-manifold to a surface, both connected and orientable, whose fibers are the integral curves of a... 
Constant mean curvature surfaces | Bernstein problem | Primary 53C42 | 53C30 | Secondary 53C15 | Stability | Minimal surfaces | Killing submersions | Mathematics, general | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology | Bundling | Killing | Curvature | Differential geometry | Mathematics - Differential Geometry
Journal Article
Mathematische Zeitschrift, ISSN 0025-5874, 2/2015, Volume 279, Issue 1, pp. 557 - 576
We obtain an exhaustive classification of totally umbilical surfaces in unimodular and non-unimodular simply-connected 3-dimensional Lie groups endowed with... 
Primary 53C42 | Mathematics, general | Secondary 53C30 | Mathematics | Physical Sciences | Science & Technology | Mathematics - Differential Geometry
Journal Article
Mathematische annalen, ISSN 0025-5831, 2015, Volume 361, Issue 3-4, pp. 725 - 740
In this article we investigate length decreasing maps between Riemannian manifolds , of dimensions and , respectively. Assuming that is compact and is complete... 
53C42 | 57R52 | 53C44 | 35K55 | Physical Sciences | Mathematics | Science & Technology
Journal Article
Annals of global analysis and geometry, ISSN 1572-9060, 03/2019, Volume 56, Issue 1, pp. 57 - 86
Journal Article
Mathematische annalen, ISSN 1432-1807, 03/2019, Volume 374, Issue 3-4, pp. 1261 - 1309
This paper concerns the global theory of properly embedded spacelike surfaces in three-dimensional Minkowski space in relation to their Gaussian curvature. We... 
Primary 53C42 | Mathematics, general | 53B30 | Mathematics | 53C50 | Secondary 35J96 | Physical Sciences | Science & Technology | Astronomy | Minkowski space | Curvature | Differential geometry
Journal Article
Calculus of variations and partial differential equations, ISSN 1432-0835, 07/2015, Volume 54, Issue 3, pp. 2853 - 2882
In the present article we obtain classification results and topological obstructions for the existence of translating solitons of the mean curvature flow in... 
53C42 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 53C44 | 53C21 | Mathematics | Physical Sciences | Mathematics, Applied | Science & Technology
Journal Article
The Journal of geometric analysis, ISSN 1050-6926, 1/2018, Volume 28, Issue 1, pp. 643 - 655
Journal Article
Mathematische annalen, ISSN 0025-5831, 8/2016, Volume 365, Issue 3, pp. 1069 - 1089
In this paper we prove two theorems. The first one is a structure result that describes the extrinsic geometry of an embedded surface with constant mean... 
53C42 | 53A10 | Mathematics, general | Mathematics | 49Q05 | Physical Sciences | Science & Technology
Journal Article
Geometriae dedicata, ISSN 0046-5755, 8/2014, Volume 171, Issue 1, pp. 407 - 412
In the paper referred to in the title, we proved that any immersed flat tori in $$S^3$$ S 3 whose mean curvature does not change sign has extrinsic diameter... 
Geometry | 53C75 | Primary 53C42 | Mathematics | Secondary 53C40
Journal Article
Calculus of variations and partial differential equations, ISSN 0944-2669, 06/2017, Volume 56, Issue 3, pp. 1 - 22
In this paper we consider the compactness of beta-symplectic critical surfaces in a Kahler surface. Let M be a compact Kahler surface and Sigma(i) subset of M... 
53C42 (primary) | 58J05 (secondary) | Physical Sciences | Mathematics | Mathematics, Applied | Science & Technology | Deformation
Journal Article
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