Song, Antoine

1. Existence of infinitely many minimal hypersurfaces in closed manifolds
   2018/06/22 by Song, Antoine · 10 citations
   #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
2. Equidistribution of minimal hypersurfaces for generic metrics
   2017/12/18 by Marques, Fernando C., Neves, André, Song, Antoine · 4 citations
   #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
3. Morse index, Betti numbers and singular set of bounded area minimal hypersurfaces
   2019/11/20 by Song, Antoine · 2 citations
   #Differential Geometry (math.DG) #FOS: Mathematics
4. Spherical volume and spherical Plateau problem
   2022/02/22 by Antoine Song, Song, Antoine · 2 citations
   Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Geometry and complex manifolds #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG)
5. A dichotomy for minimal hypersurfaces in manifolds thick at infinity
   2019/02/18 by Antoine Song, Song, Antoine · 4 citations
   Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Geometric and Algebraic Topology
6. Entropy and stability of hyperbolic manifolds
   2023/02/15 by Song, Antoine · 1 citation
   #Differential Geometry (math.DG) #FOS: Mathematics
7. Stability of Euclidean 3-space for the positive mass theorem
   2023/02/15 by Conghan Dong, Antoine Song, Dong, Conghan +1 · 1 citation
   Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
8. Scalar curvature and volume entropy of hyperbolic 3-manifolds
   2023/11/30 by Kazaras, Demetre, Song, Antoine, Xu, Kai · 1 citation
   #53C20 #57K32 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Topology (math.GT)
9. Random harmonic maps into spheres
   2024/02/15 by Song, Antoine · 1 citation
   #Differential Geometry (math.DG) #FOS: Mathematics #Operator Algebras (math.OA) #Probability (math.PR)
10. On the existence of minimal Heegaard surfaces
    2019/11/17 by Daniel Ketover, Yevgeny Liokumovich, Ketover, Daniel +3 · 1 citation
    Mathematics · #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
11. Hyperbolic groups and spherical minimal surfaces
    2024/02/16 by Antoine Song, Song, Antoine · 1 citation
    Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Mathematical Dynamics and Fractals