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Lucas Ambrozio

Observed names: Ambrozio, Lucas, Lucas C. Ambrozio
ORCID: 0000-0001-6159-3215
Observed ORCID: 0000-0001-6159-3215
OpenAlex ID: A5089896643
On static three-manifolds with positive scalar curvature
2017 · Lucas Ambrozio · Journal of Differential Geometry · 66
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Rigidity of Area-Minimizing Free Boundary Surfaces in Mean Convex Three-Manifolds
2013 · Lucas C. Ambrozio · Journal of Geometric Analysis · 47
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Comparing the Morse index and the first Betti number of minimal hypersurfaces
2018 · Lucas Ambrozio, Alessandro Carlotto, et al. · Journal of Differential Geometry · 44
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Index estimates for free boundary minimal hypersurfaces
2017 · Lucas Ambrozio, Alessandro Carlotto, et al. · Mathematische Annalen · 43
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Compactness analysis for free boundary minimal hypersurfaces
2017 · Lucas Ambrozio, Alessandro Carlotto, et al. · Calculus of Variations and Partial Differential Equations · 38
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A gap theorem for free boundary minimal surfaces in the three-ball
2021 · Lucas Ambrozio, Ivaldo Nunes · Communications in Analysis and Geometry · 28
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Riemannian metrics on the sphere with Zoll families of minimal hypersurfaces
2025 · Lucas Ambrozio, Fernando C. Marques, et al. · Journal of Differential Geometry · 18
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Rigidity theorems for the area widths of Riemannian manifolds
2024 · Ambrozio, Lucas, Marques, Fernando C., et al. · arXiv (Cornell University) · 14
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Compactness of the Space of Minimal Hypersurfaces with Bounded Volume and p-th Jacobi Eigenvalue
2015 · Lucas Ambrozio, Alessandro Carlotto, et al. · Journal of Geometric Analysis · 13
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On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass
2015 · Lucas C. Ambrozio · Communications in Mathematical Physics · 13
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On the min-max width of unit volume three-spheres
2024 · Lucas Ambrozio, Rafael Montezuma · Journal of Differential Geometry · 11
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Bubbling analysis and geometric convergence results for free boundary minimal surfaces
2019 · Lucas Ambrozio, Reto Buzano, et al. · Journal de l’École polytechnique — Mathématiques · 10
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Geometric convergence results for closed minimal surfaces via bubbling analysis
2021 · Lucas Ambrozio, Reto Buzano, et al. · Calculus of Variations and Partial Differential Equations · 6
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A note on the index of closed minimal hypersurfaces of flat tori
2017 · Lucas Ambrozio, Alessandro Carlotto, et al. · Proceedings of the American Mathematical Society · 5
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On the two-systole of real projective spaces
2020 · Lucas Ambrozio, Rafael Montezuma · Revista Matemática Iberoamericana · 4
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On perturbations of the Anti-de Sitter-Schwarzschild spaces of positive mass
2014 · Lucas Ambrozio · arXiv (Cornell University) · 4
The width of embedded circles
2025 · Lucas Ambrozio, Rafael Montezuma, et al. · Journal für die reine und angewandte Mathematik (Crelles Journal) · 3
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Spheres with minimal equators
2026 · Lucas Ambrozio · São Paulo Journal of Mathematical Sciences · 2
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Equivariant constructions of spheres with Zoll families of minimal spheres
2026 · Lucas Ambrozio, Diego Guajardo · Advances in Mathematics · 2
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Ambient geometry via min-max widths of embedded circles
2026 · Ambrozio, Lucas, Miranda, Ivan, et al. · arXiv (Cornell University) · 1
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The Intrinsic Metric of Constant Mean Curvature Surfaces and Minimal Hypersurfaces with Free Boundary
2025 · Lucas Ambrozio · Latin American mathematics series. UFSCar subseries · 1
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Works count: 22
Citation count: 373
H-index: 11
I10-index: 12
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