Smooth Stable Foliations of Anosov Diffeomorphisms
In this paper, we focus on the rigidity of $C^{2+}$-smooth codimension-one stable foliations of Anosov diffeomorphisms. Specifically, we show that if the regularity of these foliations is slightly bigger than 2, then they will have the same smoothness of the diffeomorphisms.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2024-11-01
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| Series: | Comptes Rendus. Mathématique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.679/ |
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| author | Gu, Ruihao |
| author_facet | Gu, Ruihao |
| author_sort | Gu, Ruihao |
| collection | DOAJ |
| description | In this paper, we focus on the rigidity of $C^{2+}$-smooth codimension-one stable foliations of Anosov diffeomorphisms. Specifically, we show that if the regularity of these foliations is slightly bigger than 2, then they will have the same smoothness of the diffeomorphisms. |
| format | Article |
| id | doaj-art-dba8ef89e43746a68f726f730b990078 |
| institution | Kabale University |
| issn | 1778-3569 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mathématique |
| spelling | doaj-art-dba8ef89e43746a68f726f730b9900782025-02-07T11:26:37ZengAcadémie des sciencesComptes Rendus. Mathématique1778-35692024-11-01362G121763177110.5802/crmath.67910.5802/crmath.679Smooth Stable Foliations of Anosov DiffeomorphismsGu, Ruihao0Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, Peoples Republic of ChinaIn this paper, we focus on the rigidity of $C^{2+}$-smooth codimension-one stable foliations of Anosov diffeomorphisms. Specifically, we show that if the regularity of these foliations is slightly bigger than 2, then they will have the same smoothness of the diffeomorphisms.https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.679/Anosov diffeomorphismstable foliationrigidity |
| spellingShingle | Gu, Ruihao Smooth Stable Foliations of Anosov Diffeomorphisms Comptes Rendus. Mathématique Anosov diffeomorphism stable foliation rigidity |
| title | Smooth Stable Foliations of Anosov Diffeomorphisms |
| title_full | Smooth Stable Foliations of Anosov Diffeomorphisms |
| title_fullStr | Smooth Stable Foliations of Anosov Diffeomorphisms |
| title_full_unstemmed | Smooth Stable Foliations of Anosov Diffeomorphisms |
| title_short | Smooth Stable Foliations of Anosov Diffeomorphisms |
| title_sort | smooth stable foliations of anosov diffeomorphisms |
| topic | Anosov diffeomorphism stable foliation rigidity |
| url | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.679/ |
| work_keys_str_mv | AT guruihao smoothstablefoliationsofanosovdiffeomorphisms |