Area of intrinsic graphs and coarea formula in Carnot groups
Julia, A., Nicolussi Golo, S., & Vittone, D. (2022). Area of intrinsic graphs and coarea formula in Carnot groups. Mathematische Zeitschrift, 301(2), 1369-1406. https://doi.org/10.1007/s00209-021-02916-2
Julkaistu sarjassa
Mathematische ZeitschriftPäivämäärä
2022Tekijänoikeudet
© The Author(s) 2022
We consider submanifolds of sub-Riemannian Carnot groups with intrinsic C1 regularity (C1H). Our first main result is an area formula for C1H intrinsic graphs; as an application, we deduce density properties for Hausdorff measures on rectifiable sets. Our second main result is a coarea formula for slicing C1H submanifolds into level sets of a C1H function.
Julkaisija
Springer Science and Business Media LLCISSN Hae Julkaisufoorumista
0025-5874Asiasanat
Julkaisu tutkimustietojärjestelmässä
https://converis.jyu.fi/converis/portal/detail/Publication/104294369
Metadata
Näytä kaikki kuvailutiedotKokoelmat
Lisätietoja rahoituksesta
The authors are supported by the University of Padova STARS Project “Sub-Riemannian Geometry and Geometric Measure Theory Issues: Old and New” (SUGGESTION). They also acknowledge the support of GNAMPA of INdAM and FFABR 2017 of MIUR (Italy). Open Access funding provided by University of Jyväskylä (JYU).Lisenssi
Ellei muuten mainita, aineiston lisenssi on CC BY 4.0