Rigidity properties for some isometric extensions of partially hyperbolic actions on the torus
Transactions of the American Mathematical Society, 376(6): 4043-4083, 2023 This paper studies local rigidity for some isometric toral extensions of partially hyperbolic $\mathbb{Z}^k$ ($k\geqslant 2$) actions on the torus. We prove a $C^\infty$ local rigidity result for such actions, provided that t...
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| creator | Chen, Qinbo Damjanović, Danijela |
| description | Transactions of the American Mathematical Society, 376(6):
4043-4083, 2023 This paper studies local rigidity for some isometric toral extensions of
partially hyperbolic $\mathbb{Z}^k$ ($k\geqslant 2$) actions on the torus. We
prove a $C^\infty$ local rigidity result for such actions, provided that the
smooth perturbations of the actions satisfy the intersection property. We also
give a local rigidity result within a class of volume preserving actions. Our
method mainly uses a generalization of the KAM iterative scheme. |
| doi_str_mv | 10.48550/arxiv.2202.05091 |
| format | Article |
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4043-4083, 2023 This paper studies local rigidity for some isometric toral extensions of
partially hyperbolic $\mathbb{Z}^k$ ($k\geqslant 2$) actions on the torus. We
prove a $C^\infty$ local rigidity result for such actions, provided that the
smooth perturbations of the actions satisfy the intersection property. We also
give a local rigidity result within a class of volume preserving actions. Our
method mainly uses a generalization of the KAM iterative scheme.</description><identifier>DOI: 10.48550/arxiv.2202.05091</identifier><language>eng</language><subject>Mathematics - Dynamical Systems</subject><creationdate>2022-02</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2202.05091$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2202.05091$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Chen, Qinbo</creatorcontrib><creatorcontrib>Damjanović, Danijela</creatorcontrib><title>Rigidity properties for some isometric extensions of partially hyperbolic actions on the torus</title><description>Transactions of the American Mathematical Society, 376(6):
4043-4083, 2023 This paper studies local rigidity for some isometric toral extensions of
partially hyperbolic $\mathbb{Z}^k$ ($k\geqslant 2$) actions on the torus. We
prove a $C^\infty$ local rigidity result for such actions, provided that the
smooth perturbations of the actions satisfy the intersection property. We also
give a local rigidity result within a class of volume preserving actions. Our
method mainly uses a generalization of the KAM iterative scheme.</description><subject>Mathematics - Dynamical Systems</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tqwzAQRbXpoqT9gK6qH7Crp2UvQ-gLAoWQdc3YHiUCxzKSWuK_r5J0MTMwc-9lDiFPnJWq1pq9QDi731IIJkqmWcPvyffOHdzg0kLn4GcMyWGk1gca_Qmpu_QUXE_xnHCKzk-RektnyEIYx4Uel2zq_Jgl0KfbfaLpiDT58BMfyJ2FMeLj_1yR_dvrfvNRbL_ePzfrbQGV4QXwGmohFWvyV0YMqpedqmzNMJcxHZd20BrzEivOuDWWD9mI0lgE1YBckedb7BWwnYM7QVjaC2h7BZV_GZ1P6g</recordid><startdate>20220210</startdate><enddate>20220210</enddate><creator>Chen, Qinbo</creator><creator>Damjanović, Danijela</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20220210</creationdate><title>Rigidity properties for some isometric extensions of partially hyperbolic actions on the torus</title><author>Chen, Qinbo ; Damjanović, Danijela</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-a18a82340905072d4c3b46f80ef8077b13fd55e3b4e6101f7f1da67e37fea49a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Chen, Qinbo</creatorcontrib><creatorcontrib>Damjanović, Danijela</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Chen, Qinbo</au><au>Damjanović, Danijela</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Rigidity properties for some isometric extensions of partially hyperbolic actions on the torus</atitle><date>2022-02-10</date><risdate>2022</risdate><abstract>Transactions of the American Mathematical Society, 376(6):
4043-4083, 2023 This paper studies local rigidity for some isometric toral extensions of
partially hyperbolic $\mathbb{Z}^k$ ($k\geqslant 2$) actions on the torus. We
prove a $C^\infty$ local rigidity result for such actions, provided that the
smooth perturbations of the actions satisfy the intersection property. We also
give a local rigidity result within a class of volume preserving actions. Our
method mainly uses a generalization of the KAM iterative scheme.</abstract><doi>10.48550/arxiv.2202.05091</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems |
| title | Rigidity properties for some isometric extensions of partially hyperbolic actions on the torus |
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