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Song, Antoine

Co-Author Distance
Author ID: song.antoine Recent zbMATH articles by "Song, Antoine"
Published as: Song, Antoine
Homepage: https://sites.google.com/view/antoinesong/home
External Links: MGP · ResearchGate · IdRef
Videos: carmin.tv
Documents Indexed: 18 Publications since 2014, including 10 Additional arXiv Preprints
Reviewing Activity: 4 Reviews
Co-Authors: 10 Co-Authors with 6 Joint Publications
116 Co-Co-Authors
all top 5

Co-Authors

12 single-authored
1 Arroja Neves, André
1 Brendel, Joé
1 Dong, Conghan
1 Kazaras, Demetre P.
1 Ketover, Daniel
1 Liokumovich, Yevgeny
1 Marques, Fernando Codá
1 Sackel, Kevin
1 Varolgunes, Umut
1 Zhou, Xin
1 Zhu, Jonathan J. H.
all top 5

Serials

2 Geometry & Topology
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Duke Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Differential Geometry
1 Geometric and Functional Analysis. GAFA
1 Annals of Mathematics. Second Series

Fields

9 Differential geometry (53-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
2 Manifolds and cell complexes (57-XX)
2 Global analysis, analysis on manifolds (58-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

6 Publications have been cited 74 times in 51 Documents Cited by ▼ Year ▼
Equidistribution of minimal hypersurfaces for generic metrics. Zbl 1419.53061
Marques, Fernando C.; Neves, André; Song, Antoine
44
2019
Existence of infinitely many minimal hypersurfaces in closed manifolds. Zbl 1526.53013
Song, Antoine
14
2023
Generic scarring for minimal hypersurfaces along stable hypersurfaces. Zbl 1479.53072
Song, Antoine; Zhou, Xin
8
2021
Embeddedness of least area minimal hypersurfaces. Zbl 1412.53085
Song, Antoine
5
2018
A dichotomy for minimal hypersurfaces in manifolds thick at infinity. Zbl 1542.53018
Song, Antoine
2
2023
Morse index, Betti numbers, and singular set of bounded area minimal hypersurfaces. Zbl 07732803
Song, Antoine
1
2023
Existence of infinitely many minimal hypersurfaces in closed manifolds. Zbl 1526.53013
Song, Antoine
14
2023
A dichotomy for minimal hypersurfaces in manifolds thick at infinity. Zbl 1542.53018
Song, Antoine
2
2023
Morse index, Betti numbers, and singular set of bounded area minimal hypersurfaces. Zbl 07732803
Song, Antoine
1
2023
Generic scarring for minimal hypersurfaces along stable hypersurfaces. Zbl 1479.53072
Song, Antoine; Zhou, Xin
8
2021
Equidistribution of minimal hypersurfaces for generic metrics. Zbl 1419.53061
Marques, Fernando C.; Neves, André; Song, Antoine
44
2019
Embeddedness of least area minimal hypersurfaces. Zbl 1412.53085
Song, Antoine
5
2018
all cited Publications top 5 cited Publications
all top 5

Cited by 58 Authors

5 Marques, Fernando Codá
5 Wang, Zhichao
5 Zhou, Xin
4 Arroja Neves, André
4 Dey, Akashdeep
3 Li, Yangyang
3 Montezuma, Rafael
3 Song, Antoine
2 Ambrozio, Lucas C.
2 Liokumovich, Yevgeny
2 Mantoulidis, Christos
2 Staffa, Bruno
1 Andrade, João Henrique
1 Bellettini, Costante
1 Bernstein, Jacob
1 Bronsard, Lia
1 Buzano, Reto
1 Caldini, Gianmarco
1 Calegari, Danny Matthew Cornelius
1 Carlotto, Alessandro
1 Chambers, Gregory R.
1 Cheng, Da Rong
1 Chodosh, Otis
1 Colding, Tobias Holck
1 Conrado, Jackeline
1 Cordero-Misteli, Santiago
1 De Lellis, Camillo
1 Donato, Sidney
1 Franz, Giada
1 Gaspar, Pedro
1 Guang, Qiang
1 Guaraco, Marco A. M.
1 Haslhofer, Robert
1 Irie, Kei
1 Ketover, Daniel
1 Li, Chao
1 Li, Martin Man-Chun
1 Li, Xinze
1 Lowe, Ben
1 Marchese, Andrea
1 Mazet, Laurent
1 Mazurowski, Liam
1 Meira, Adson
1 Merlo, Andrea
1 Nardulli, Stefano
1 Piccione, Paolo
1 Resende, Reinaldo
1 Rosenberg, Harold
1 Serra Montolí, Joaquim
1 Sharp, Ben
1 Steinbrüchel, Simone
1 Sun, Ao
1 Székelyhidi, László jun.
1 Tonegawa, Yoshihiro
1 Toro, Tatiana
1 Wang, Lu
1 Wang, Tongrui
1 Wang, Zhihan
all top 5

Cited in 26 Serials

6 Calculus of Variations and Partial Differential Equations
5 Journal of Differential Geometry
5 Geometric and Functional Analysis. GAFA
3 Advances in Mathematics
3 Duke Mathematical Journal
2 Communications on Pure and Applied Mathematics
2 Journal of Functional Analysis
2 Mathematische Annalen
2 The Journal of Geometric Analysis
2 Annals of Mathematics. Second Series
1 Communications in Mathematical Physics
1 American Journal of Mathematics
1 Archiv der Mathematik
1 Publications Mathématiques
1 Inventiones Mathematicae
1 Journal für die Reine und Angewandte Mathematik
1 Transactions of the American Mathematical Society
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Selecta Mathematica. New Series
1 Geometry & Topology
1 Oberwolfach Reports
1 Japanese Journal of Mathematics. 3rd Series
1 São Paulo Journal of Mathematical Sciences
1 Kyoto Journal of Mathematics
1 S\(\vec{\text{e}}\)MA Journal
1 Peking Mathematical Journal
all top 5

Cited in 8 Fields

49 Differential geometry (53-XX)
21 Global analysis, analysis on manifolds (58-XX)
18 Calculus of variations and optimal control; optimization (49-XX)
7 Partial differential equations (35-XX)
2 Manifolds and cell complexes (57-XX)
1 General and overarching topics; collections (00-XX)
1 Measure and integration (28-XX)
1 Algebraic topology (55-XX)

Citations by Year