Kwong, Kwok-Kun; Wei, Yong Geometric inequalities involving three quantities in warped product manifolds. (English) Zbl 1525.52003 Adv. Math. 430, Article ID 109213, 28 p. (2023). Reviewer: Vladimir Bobkov (Ufa) MSC: 52A39 53E10 53C21 51M16 52A40 PDFBibTeX XMLCite \textit{K.-K. Kwong} and \textit{Y. Wei}, Adv. Math. 430, Article ID 109213, 28 p. (2023; Zbl 1525.52003) Full Text: DOI arXiv
Fischer, Véronique; Tripaldi, Francesca An alternative construction of the Rumin complex on homogeneous nilpotent Lie groups. (English) Zbl 1523.58018 Adv. Math. 429, Article ID 109192, 39 p. (2023). Reviewer: Takeshi Kawazoe (Yokohama) MSC: 58J10 53C17 22E25 PDFBibTeX XMLCite \textit{V. Fischer} and \textit{F. Tripaldi}, Adv. Math. 429, Article ID 109192, 39 p. (2023; Zbl 1523.58018) Full Text: DOI arXiv
Chiu, Hung-Lin; Liu, Hsiao-Fan A characterization of constant \(p\)-mean curvature surfaces in the Heisenberg group \(H_1\). (English) Zbl 1506.53070 Adv. Math. 405, Article ID 108514, 50 p. (2022). Reviewer: Costache Apreutesei (Iaşi) MSC: 53C42 53C22 53A10 PDFBibTeX XMLCite \textit{H.-L. Chiu} and \textit{H.-F. Liu}, Adv. Math. 405, Article ID 108514, 50 p. (2022; Zbl 1506.53070) Full Text: DOI arXiv
Chousionis, Vasilis; Magnani, Valentino; Tyson, Jeremy T. On uniform measures in the Heisenberg group. (English) Zbl 1434.28005 Adv. Math. 363, Article ID 106980, 42 p. (2020). MSC: 28A78 53C17 PDFBibTeX XMLCite \textit{V. Chousionis} et al., Adv. Math. 363, Article ID 106980, 42 p. (2020; Zbl 1434.28005) Full Text: DOI arXiv
Comi, Giovanni E.; Magnani, Valentino The Gauss-Green theorem in stratified groups. (English) Zbl 1507.26023 Adv. Math. 360, Article ID 106916, 85 p. (2020). MSC: 26B20 22E30 53C17 PDFBibTeX XMLCite \textit{G. E. Comi} and \textit{V. Magnani}, Adv. Math. 360, Article ID 106916, 85 p. (2020; Zbl 1507.26023) Full Text: DOI arXiv
Chousionis, Vasileios; Fässler, Katrin; Orponen, Tuomas Boundedness of singular integrals on \(C^{1,{\alpha}}\) intrinsic graphs in the Heisenberg group. (English) Zbl 1427.42017 Adv. Math. 354, Article ID 106745, 45 p. (2019). Reviewer: Vladimir Mityushev (Kraków) MSC: 42B20 31C05 35R03 32U30 28A78 PDFBibTeX XMLCite \textit{V. Chousionis} et al., Adv. Math. 354, Article ID 106745, 45 p. (2019; Zbl 1427.42017) Full Text: DOI arXiv
Galli, Matteo; Ritoré, Manuel Area-stationary and stable surfaces of class \(C^1\) in the sub-Riemannian Heisenberg group \(\mathbb{H}^1\). (English) Zbl 1327.53034 Adv. Math. 285, 737-765 (2015). MSC: 53C17 49Q20 PDFBibTeX XMLCite \textit{M. Galli} and \textit{M. Ritoré}, Adv. Math. 285, 737--765 (2015; Zbl 1327.53034) Full Text: DOI arXiv
Cianchi, Andrea; Pick, Luboš; Slavíková, Lenka Higher-order Sobolev embeddings and isoperimetric inequalities. (English) Zbl 1334.46027 Adv. Math. 273, 568-650 (2015). MSC: 46E35 46E30 PDFBibTeX XMLCite \textit{A. Cianchi} et al., Adv. Math. 273, 568--650 (2015; Zbl 1334.46027) Full Text: DOI arXiv
Hurtado, Ana; Ritoré, Manuel; Rosales, César The classification of complete stable area-stationary surfaces in the Heisenberg group. (English) Zbl 1192.53038 Adv. Math. 224, No. 2, 561-600 (2010). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 49Q05 PDFBibTeX XMLCite \textit{A. Hurtado} et al., Adv. Math. 224, No. 2, 561--600 (2010; Zbl 1192.53038) Full Text: DOI arXiv
Balogh, Zoltán M.; Tyson, Jeremy T.; Warhurst, Ben Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups. (English) Zbl 1155.22011 Adv. Math. 220, No. 2, 560-619 (2009). Reviewer: Victor Sharapov (Volgograd) MSC: 22E25 53C17 PDFBibTeX XMLCite \textit{Z. M. Balogh} et al., Adv. Math. 220, No. 2, 560--619 (2009; Zbl 1155.22011) Full Text: DOI
Ritoré, Manuel; Rosales, César Area-stationary surfaces in the Heisenberg group \(\mathbb H^1\). (English) Zbl 1158.53022 Adv. Math. 219, No. 2, 633-671 (2008). Reviewer: Antonio Masiello (Bari) MSC: 53C17 49Q20 PDFBibTeX XMLCite \textit{M. Ritoré} and \textit{C. Rosales}, Adv. Math. 219, No. 2, 633--671 (2008; Zbl 1158.53022) Full Text: DOI arXiv
Danielli, D.; Garofalo, N.; Nhieu, D. M. Sub-Riemannian calculus on hypersurfaces in Carnot groups. (English) Zbl 1129.53017 Adv. Math. 215, No. 1, 292-378 (2007). Reviewer: Gheorghe Zet (Iaşi) MSC: 53C17 22E25 PDFBibTeX XMLCite \textit{D. Danielli} et al., Adv. Math. 215, No. 1, 292--378 (2007; Zbl 1129.53017) Full Text: DOI arXiv
Franchi, Bruno; Serapioni, Raul; Serra Cassano, Francesco Regular submanifolds, graphs and area formula in Heisenberg groups. (English) Zbl 1125.28002 Adv. Math. 211, No. 1, 152-203 (2007). Reviewer: Hua Su (Beijing) MSC: 28A78 28A75 22E25 PDFBibTeX XMLCite \textit{B. Franchi} et al., Adv. Math. 211, No. 1, 152--203 (2007; Zbl 1125.28002) Full Text: DOI