Stokes' theorem in Heisenberg groups | Vidéo | Carmin.tv

00:00:00 / 00:00:00

Stokes' theorem in Heisenberg groups

By Davide Vittone

Appears in collection : Frontiers in Sub-Riemannian Geometry / Aux frontières de la géométrie sous-riemannienne

We introduce the notion of submanifolds with boundary with intrinsic $C^{1}$ regularity in the setting of sub-Riemannian Heisenberg groups. We present a Stokes' Theorem for such submanifolds involving the integration of Heisenberg differential foms introduced by Rumin. This is a joint work with M. Di Marco, A. Julia and S. Nicolussi Golo.

Information about the video

Date of recording 25/11/2024
Date of publication 06/12/2024
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.20272703
Cite this video Vittone, Davide (25/11/2024). Stokes' theorem in Heisenberg groups. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20272703
URL https://dx.doi.org/10.24350/CIRM.V.20272703

Domain(s)

Bibliography

DI MARCO, Marco, JULIA, Antoine, GOLO, Sebastiano Nicolussi, et al. Submanifolds with boundary and Stokes' Theorem in Heisenberg groups. arXiv preprint arXiv:2403.18675, 2024. - https://doi.org/10.48550/arXiv.2403.18675
FRANCHI, Bruno, SERAPIONI, Raul, et CASSANO, Francesco Serra. Regular submanifolds, graphs and area formula in Heisenberg groups. Advances in mathematics, 2007, vol. 211, no 1, p. 152-203. - https://doi.org/10.1016/j.aim.2006.07.015
FRANCHI, Bruno, TCHOU, Nicoletta, et TESI, Maria Carla. Div–curl type theorem, H-convergence and Stokes formula in the Heisenberg group. Communications in Contemporary Mathematics, 2006, vol. 8, no 01, p. 67-99. - http://doi.org/10.1142/S0219199706002039
FRANCHI, Bruno, SERAPIONI, Raul, et CASSANO, Francesco Serra. Regular submanifolds, graphs and area formula in Heisenberg groups. Advances in mathematics, 2007, vol. 211, no 1, p. 152-203. - https://doi.org/10.1016/j.aim.2006.07.015
RUMIN, Michel. Formes différentielles sur les variétés de contact. Journal of Differential Geometry, 1994, vol. 39, no 2, p. 281-330. - [http:// doi.org/10.4310/jdg/1214454873](http:// doi.org/10.4310/jdg/1214454873)

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

Copyright Carmin.tv 2026

Give feedback