Intrinsic regular surfaces in Carnot groups
A Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces. As in Euclidean spaces, intrinsic regular surfaces can be locally defined in different ways: e.g. as non criti...
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| Language: | English |
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University of Bologna
2025-01-01
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| Series: | Bruno Pini Mathematical Analysis Seminar |
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| Online Access: | https://mathematicalanalysis.unibo.it/article/view/21050 |
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| author | Daniela Di Donato |
| author_facet | Daniela Di Donato |
| author_sort | Daniela Di Donato |
| collection | DOAJ |
| description | A Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces. As in Euclidean spaces, intrinsic regular surfaces can be locally defined in different ways: e.g. as non critical level sets or as continuously intrinsic differentiable graphs. The equivalence of these natural definitions is the problem that we are studying. This is a note based on the paper [8]. |
| format | Article |
| id | doaj-art-30b26650417d4fd28676dc2f142d37ad |
| institution | DOAJ |
| issn | 2240-2829 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | University of Bologna |
| record_format | Article |
| series | Bruno Pini Mathematical Analysis Seminar |
| spelling | doaj-art-30b26650417d4fd28676dc2f142d37ad2025-08-20T02:47:09ZengUniversity of BolognaBruno Pini Mathematical Analysis Seminar2240-28292025-01-0115111810.6092/issn.2240-2829/2105019424Intrinsic regular surfaces in Carnot groupsDaniela Di Donato0Dipartimento di Matematica, Università di PaviaA Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces. As in Euclidean spaces, intrinsic regular surfaces can be locally defined in different ways: e.g. as non critical level sets or as continuously intrinsic differentiable graphs. The equivalence of these natural definitions is the problem that we are studying. This is a note based on the paper [8].https://mathematicalanalysis.unibo.it/article/view/21050carnot groupsintrinsic differentiabilityintrinsic regular surfacesintrinsic graphs |
| spellingShingle | Daniela Di Donato Intrinsic regular surfaces in Carnot groups Bruno Pini Mathematical Analysis Seminar carnot groups intrinsic differentiability intrinsic regular surfaces intrinsic graphs |
| title | Intrinsic regular surfaces in Carnot groups |
| title_full | Intrinsic regular surfaces in Carnot groups |
| title_fullStr | Intrinsic regular surfaces in Carnot groups |
| title_full_unstemmed | Intrinsic regular surfaces in Carnot groups |
| title_short | Intrinsic regular surfaces in Carnot groups |
| title_sort | intrinsic regular surfaces in carnot groups |
| topic | carnot groups intrinsic differentiability intrinsic regular surfaces intrinsic graphs |
| url | https://mathematicalanalysis.unibo.it/article/view/21050 |
| work_keys_str_mv | AT danieladidonato intrinsicregularsurfacesincarnotgroups |