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2025/05/28 by Batista, Márcio, Cavalcante, Marcos P., Mendes, Abraão +1 · 1 citation
#53A10 #58J50 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53C24 #Secondary 49Q05
- Do Carmo's problem for CMC hypersurfaces in ℝ6
2025/03/11 by Jingche Chen, Chen, Jingche, Han Hong +3 · 1 citation
Mathematics · #53A10 #53C42 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Holomorphic and Operator Theory
- Interior control for surfaces with positive scalar curvature and its application
2025/02/20 by Shuli Chen, Jianchun Chu, Chen, Shuli +3 · 1 citation
Computer Science · Engineering · Mathematics · #53A10 #53C21 #Computer Graphics and Visualization Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Mathematics and Applications #Structural Analysis and Optimization
- Free boundary minimal surfaces and the reflection principle
2025/01/06 by Choe, Jaigyoung · 1 citation
#49Q05 #53A10 #Differential Geometry (math.DG) #FOS: Mathematics
- Discrete Lorentz surfaces and s-embeddings II: maximal surfaces
2024/11/28 by Niklas Christoph Affolter, Affolter, Niklas Christoph, Felix Dellinger +7 · 1 citation
Mathematics · #52C26 (secondary) #53A10 #53A70 (primary) #82B20 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Mathematical Physics (math-ph)
- On the regularity of area minimizing currents at boundaries with arbitrary multiplicity
2024/10/06 by Ian Fleschler, Fleschler, Ian, Reinaldo Resende +1 · 1 citation
Computer Science · #49Q05 #49Q15 #49Q20 #53A10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Curvature estimates for minimal hypersurfaces in the Heisenberg group
2024/09/30 by Giovannardi, Gianmarco, Pinamonti, Andrea, Verzellesi, Simone · 1 citation
#35R03 #53A10 #53C17 #Differential Geometry (math.DG) #FOS: Mathematics
- Existence and regularity of min-max anisotropic minimal hypersurfaces
2024/09/23 by De Philippis, Guido, De Rosa, Antonio, Li, Yangyang · 2 citations
#49Q05 #53A10 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- An Alternative for Constant Mean Curvature Hypersurfaces
2024/08/25 by Mazurowski, Liam, Zhou, Xin · 1 citation
#53A10 #Differential Geometry (math.DG) #FOS: Mathematics
- Minimal surfaces with low genus in lens spaces
2024/06/18 by Li, Xingzhe, Wang, Tongrui, Yao, Xuan · 2 citations
#53A10 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
- The Calderón problem on Riemannian surfaces and of minimal surfaces
2024/06/18 by Cătălin I. Cârstea, Cârstea, Cătălin I., Tony Liimatainen +3 · 3 citations
Computer Science · Mathematics · #35J25 #35R30 #53A10 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory in Mathematical Physics #advanced mathematical theories
- Minimal submanifolds and stability in Einstein manifolds
2024/06/05 by Mustafa Kalafat, Kalafat, Mustafa, Özgür Kelekçi +3 · 1 citation
Computer Science · Mathematics · #35P05 #53A10 #53C25 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometry and complex manifolds #Mathematical Physics (math-ph) #Topological and Geometric Data Analysis
- A Variational Theory for The Area of Legendrian Surfaces
2024/05/11 by Pigati, Alessandro, Rivière, Tristan · 2 citations
#49Q05 #49Q10 #53A10 #53D12 #58E12 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Rigidity of CMC hypersurfaces in 5-and 6-manifolds
2024/05/11 by Hong, Han, Yan, Zetian · 1 citation
#53A10 #53C42 #58E12 #Differential Geometry (math.DG) #FOS: Mathematics
- Infinitely Many Half-Volume Constant Mean Curvature Hypersurfaces via Min-Max Theory
2024/05/01 by Liam Mazurowski, Xin Zhou, Mazurowski, Liam +1 · 3 citations
Mathematics · #53A10 #Algebraic Geometry and Number Theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds
- Free boundary CMC annuli in spherical and hyperbolic balls
2024/03/07 by Cerezo, Alberto, Fernandez, Isabel, Mira, Pablo · 3 citations
#53A10 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics
- Generalized Minkowski formulas and rigidity results for anisotropic capillary hypersurfaces
2024/01/22 by Gao, Jinyu, Li, Guanghan · 1 citation
#53A10 #53C24 #53C40 #Differential Geometry (math.DG) #FOS: Mathematics
- Construction of fillings with prescribed Gaussian image and applications
2024/01/19 by De Rosa, Antonio, Lei, Yucong, Young, Robert · 1 citation
#35D30 #49Q05 #49Q15 #49Q20 #53A10 #53C23 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics
- Positive scalar curvature metrics and aspherical summands
2023/12/07 by Chen, Shuli, Chu, Jianchun, Zhu, Jintian · 3 citations
#53A10 #53C21 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
- Conservation Laws for p-Harmonic Systems with Antisymmetric Potentials and Applications
2023/11/07 by Da Lio, Francesca, Rivière, Tristan · 1 citation
#35J47 #35J50 #49Q05 #53A10 #58E12 #58E20 #Analysis of PDEs (math.AP) #FOS: Mathematics
- Extensions of Schoen--Simon--Yau and Schoen--Simon theorems via iteration à la De Giorgi
2023/10/02 by Costante Bellettini, Bellettini, Costante · 6 citations
Computer Science · Mathematics · #35J15 #35J60 #49Q05 #49Q20 #53A10 #53C42 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems
- Bifurcations of Clifford tori in ellipsoids
2023/09/24 by Bettiol, Renato G., Piccione, Paolo · 1 citation
#34C23 #35B32 #49Q05 #53A10 #53C42 #58J55 #Differential Geometry (math.DG) #FOS: Mathematics
- Generic density of equivariant min-max hypersurfaces
2023/09/18 by Wang, Tongrui · 1 citation
#53A10 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics
- Extrinsic GJMS operators for submanifolds
2023/06/20 by Case, Jeffrey S., Graham, C Robin, Kuo, Tzu-Mo · 1 citation
#53A10 #53A31 (Primary) 53A55 #53C18 (Secondary) #58J70 #Differential Geometry (math.DG) #FOS: Mathematics
- On area-minimizing Pfaffian varieties
2023/05/11 by Hongbin Cui, Xiaoxiang Jiao, Cui, Hongbin +3 · 2 citations
Computer Science · Mathematics · #14M99 #53A07 #53A10 #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #Differential Geometry (math.DG) #FOS: Mathematics #Polynomial and algebraic computation #Primary 49Q15 #Secondary 14M12 #Tensor decomposition and applications
- Analysis of singularities of area minimizing currents: planar frequency, branch points of rapid decay, and weak locally uniform approximation
2023/04/20 by Krummel, Brian, Wickramasekera, Neshan · 1 citation
#35J60 #49Q20 #53A10 #Differential Geometry (math.DG) #FOS: Mathematics
- Analysis of singularities of area minimizing currents: a uniform height bound, estimates away from branch points of rapid decay, and uniqueness of tangent cones
2023/04/20 by Krummel, Brian, Wickramasekera, Neshan · 1 citation
#35J60 #49Q20 #53A10 #Differential Geometry (math.DG) #FOS: Mathematics
- Analytic saddle spheres in \mathbbS3 are equatorial
2023/03/30 by Galvez, Jose A., Mira, Pablo, Tassi, Marcos P. · 1 citation
#53A10 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics
- Stability and largeness properties of minimal surfaces in higher codimension
2023/03/13 by Fraser, Ailana, Schoen, Richard · 1 citation
#53A10 #53C21 #Differential Geometry (math.DG) #FOS: Mathematics
- The Half-Volume Spectrum of a Manifold
2023/02/15 by Mazurowski, Liam, Zhou, Xin · 2 citations
#53A10 #Differential Geometry (math.DG) #FOS: Mathematics
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