Sboev, D. A. \( BV \)-spaces and the bounded composition operators of \(BV\)-functions on Carnot groups. (English. Russian original) Zbl 1535.49039 Sib. Math. J. 64, No. 6, 1420-1438 (2023); translation from Sib. Mat. Zh. 64, No. 6, 1304-1326 (2023). Reviewer: Lakehal Belarbi (Mostaganem) MSC: 49Q20 47A52 65J20 65J22 × Cite Format Result Cite Review PDF Full Text: DOI
Le Donne, Enrico; Li, Sean; Moisala, Terhi Infinite-dimensional Carnot groups and Gâteaux differentiability. (English) Zbl 1475.28001 J. Geom. Anal. 31, No. 2, 1756-1785 (2021). Reviewer: Michael Dymond (Leipzig) MSC: 28A15 46G05 53C17 58C20 × Cite Format Result Cite Review PDF Full Text: DOI
Tao, Terence Embedding the Heisenberg group into a bounded-dimensional Euclidean space with optimal distortion. (English) Zbl 1461.30134 Rev. Mat. Iberoam. 37, No. 1, 1-44 (2021). MSC: 30L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Donne, Enrico; Pinamonti, Andrea; Speight, Gareth Universal differentiability sets and maximal directional derivatives in Carnot groups. (English. French summary) Zbl 1412.53054 J. Math. Pures Appl. (9) 121, 83-112 (2019). Reviewer: Nathaniel Eldredge (Greeley) MSC: 53C17 22E25 26B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Butler, Clark Rigidity of equality of Lyapunov exponents for geodesic flows. (English) Zbl 1391.37032 J. Differ. Geom. 109, No. 1, 39-79 (2018). Reviewer: Jacques Franchi (Strasbourg) MSC: 37D40 53D25 37D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Cantrell, Michael Differentiability of integrable measurable cocycles between nilpotent groups. (English) Zbl 1472.20083 Comment. Math. Helv. 92, No. 1, 185-213 (2017). MSC: 20F65 22F10 28D15 37A20 20F18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Le Donne, Enrico; Xie, Xiangdong Rigidity of fiber-preserving quasisymmetric maps. (English) Zbl 1372.30063 Rev. Mat. Iberoam. 32, No. 4, 1407-1422 (2016). Reviewer: Anastasia Molchanova (Novosibirsk) MSC: 30L10 22E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Austin, Tim; Naor, Assaf; Tessera, Romain Sharp quantitative nonembeddability of the Heisenberg group into superreflexive Banach spaces. (English) Zbl 1284.46019 Groups Geom. Dyn. 7, No. 3, 497-522 (2013). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 20F65 30L05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Backlinks: MO
Xie, Xiangdong Quasisymmetric homeomorphisms on reducible Carnot groups. (English) Zbl 1278.53036 Pac. J. Math. 265, No. 1, 113-122 (2013). Reviewer: Andreea Olteanu (Bucureşti) MSC: 53C17 53C23 30L10 × Cite Format Result Cite Review PDF Full Text: DOI
Cheeger, Jeff; Kleiner, Bruce Realization of metric spaces as inverse limits, and bilipschitz embedding in \(L_1\). (English) Zbl 1277.46012 Geom. Funct. Anal. 23, No. 1, 96-133 (2013). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Naor, Assaf \(L_{1}\) embeddings of the Heisenberg group and fast estimation of graph isoperimetry. (English) Zbl 1232.46021 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. III: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-33-5/hbk; 978-81-85931-08-3/hbk; 978-981-4324-30-4/set; 978-981-4324-35-9/ebook). 1549-1575 (2011). Reviewer: Mikhail Ostrovskii (Queens) MSC: 46B85 05C12 20F65 30L05 46B80 51F99 68W25 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Vodop’yanov, S. K. Differentiability of curves in the category of Carnot manifolds. (English. Russian original) Zbl 1134.53017 Dokl. Math. 74, No. 2, 686-691 (2006); translation from Dokl. Akad. Nauk., Ross. Akad. Nauk. 410, No. 4, 439-444 (2006). MSC: 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Arcozzi, Nicola; Morbidelli, Daniele A global inverse map theorem and biLipschitz maps in the Heisenberg group. (English) Zbl 1141.58004 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 52, No. 2, 189-197 (2006). Reviewer: Olli Martio (Helsinki) MSC: 58C15 53C17 × Cite Format Result Cite Review PDF Full Text: DOI
Capogna, Luca; Cowling, Michael Conformality and \(Q\)-harmonicity in Carnot groups. (English) Zbl 1106.30011 Duke Math. J. 135, No. 3, 455-479 (2006). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30C65 30-06 35H20 22E25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Miculescu, Radu; Mortici, Cristinel Lipschitz Functions. (Romanian) Zbl 1096.49011 Bucharest: Editura Academiei Române (ISBN 973-27-1061-6). 214 p. (2004). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 49J52 26A16 26B35 54E40 47H10 54H25 46G05 49-02 × Cite Format Result Cite Review PDF
Magnani, Valentino Note on coarea formulae in the Heisenberg group. (English) Zbl 1062.22020 Publ. Mat., Barc. 48, No. 2, 409-422 (2004). Reviewer: Hidenori Fujiwara (Iizuka) MSC: 22E25 28A75 22E30 49Q15 × Cite Format Result Cite Review PDF Full Text: DOI EuDML Link
Rigot, Séverine Counter example to the Besicovitch covering property for some Carnot groups equipped with their Carnot-Carathéodory metric. (English) Zbl 1082.53030 Math. Z. 248, No. 4, 827-848 (2004). Reviewer: Evangelia Samiou (Nicosia) MSC: 53C17 22E25 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Balogh, Zoltán M.; Rickly, Matthieu Regularity of convex functions on Heisenberg groups. (English) Zbl 1121.43007 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 2, No. 4, 847-868 (2003). Reviewer: Walter Schempp (Siegen) MSC: 43A80 26B25 49L25 × Cite Format Result Cite Review PDF Full Text: EuDML
Vodopyanov, S. K. Geometry of Carnot-Carathéodory spaces, quasiconformal analysis, and geometric measure theory. (Russian) Zbl 1048.43011 Vladikavkaz. Mat. Zh. 5, No. 1, 14-34 (2003). Reviewer: N. A. Kudryavtseva (Novosibirsk) MSC: 43A85 46G05 46E35 × Cite Format Result Cite Review PDF Full Text: EuDML Link
Bourdon, Marc; Pajot, Hervé Quasi-conformal geometry and hyperbolic geometry. (English) Zbl 1002.30012 Burger, Marc (ed.) et al., Rigidity in dynamics and geometry. Contributions from the programme Ergodic theory, geometric rigidity and number theory, Isaac Newton Institute for the Mathematical Sciences, Cambridge, UK, January 5-July 7, 2000. Berlin: Springer. 1-17 (2002). Reviewer: Erich Hoy (Friedberg) MSC: 30C65 × Cite Format Result Cite Review PDF
Vodop’yanov, S. K. On the closedness of classes of mappings with bounded distortion on Carnot groups. (English. Russian original) Zbl 1064.30013 Dokl. Math. 64, No. 3, 366-369 (2001); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 381, No. 4, 439-443 (2001). MSC: 30C65 31C45 × Cite Format Result Cite Review PDF
Bishop, Christopher J.; Tyson, Jeremy T. Locally minimal sets for conformal dimension. (English) Zbl 1013.30015 Ann. Acad. Sci. Fenn., Math. 26, No. 2, 361-373 (2001). Reviewer: Mariusz Urbanski (Denton) MSC: 30C65 28A78 28A75 46E35 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Pauls, Scott D. The large scale geometry in nilpotent Lie groups. (English) Zbl 1005.53033 Commun. Anal. Geom. 9, No. 5, 951-982 (2001). Reviewer: I.G.Nikolaev (Urbana, IL) MSC: 53C20 53C45 22E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Magnani, Valentino Differentiability and area formula on stratified Lie groups. (English) Zbl 0983.22009 Houston J. Math. 27, No. 2, 297-323 (2001). Reviewer: Richard Bödi (Adliswil) MSC: 22E25 49Q15 22E30 28A75 × Cite Format Result Cite Review PDF
Dairbekov, N. S. Mappings with bounded distortion on Heisenberg groups. (Russian, English) Zbl 1074.30509 Sib. Mat. Zh. 41, No. 3, 567-590 (2000); translation in Sib. Math. J. 41, No. 3, 465-487 (2000). Reviewer: A. Greshnov (Novosibirsk) MSC: 30C65 × Cite Format Result Cite Review PDF Full Text: EuDML
Dairbekov, N. S. On mappings with bounded distortion on Heisenberg group. (English. Russian original) Zbl 0962.30008 Sib. Math. J. 41, No. 1, 40-48 (2000); translation from Sib. Mat. Zh. 41, No. 1, 49-59 (2000). Reviewer: A.Greshnov (Novosibirsk) MSC: 30C65 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Vodop’yanov, S. K.; Markina, I. G. Local estimates of the variation of mappings with bounded \(s\)-distortion on Carnot groups. (Russian) Zbl 0962.30007 Reshetnyak, Yu. G. (ed.) et al., Algebra, geometry, analysis and mathematical physics. Twelfth Siberian school, Novosibirsk, Russia, July 20-24, 1998. Novosibirsk: Izdatel’stvo Instituta Matematiki SO RAN. 28-53 (1999). Reviewer: A.Greshnov (Novosibirsk) MSC: 30C65 × Cite Format Result Cite Review PDF
Lebeau, Édouard Periodic quasi- apartments in Fuchsian buildings. (Quasi-appartements périodiques dans les immeubles fuchsiens.) (French) Zbl 0938.51006 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 1, 37-40 (1999). Reviewer: Serguey M.Pokas (Odessa) MSC: 51E24 20E42 × Cite Format Result Cite Review PDF Full Text: DOI
Vodop’yanov, S. K. Mappings with bounded distortion and with finite distortion on Carnot groups. (English. Russian original) Zbl 0973.30021 Sib. Math. J. 40, No. 4, 644-677 (1999); translation from Sib. Mat. Zh. 40, No. 4, 764-804 (1999). Reviewer: A.Greshnov (Novosibirsk) MSC: 30C65 43A80 × Cite Format Result Cite Review PDF Full Text: DOI
Mozes, Shahar Aperiodic tilings. (English) Zbl 0879.52011 Invent. Math. 128, No. 3, 603-611 (1997). Reviewer: S.M.Pokas (Odessa) MSC: 52C22 53C25 × Cite Format Result Cite Review PDF Full Text: DOI Backlinks: MO
Chow, Richard Groups quasi-isometric to complex hyperbolic space. (English) Zbl 0867.20033 Trans. Am. Math. Soc. 348, No. 5, 1757-1769 (1996). Reviewer: B.N.Apanasov (Norman) MSC: 20F65 30C65 53C23 22E40 × Cite Format Result Cite Review PDF Full Text: DOI
Greshnov, A. V. Extension of differentiable functions beyond the boundary of the domain on Carnot groups. (English. Russian original) Zbl 0917.31007 Sib. Adv. Math. 7, No. 3, 20-62 (1997); translation from Reshetnyak, Yu. G. (ed.) et al., Sobolev spaces and adjacent problems of analysis. Novosibirsk: Izdatel’stvo Instituta Matematiki SO RAN. Tr. Inst. Mat. Im. S. L. Soboleva SO RAN. 31, 161-186 (1996). Reviewer: A. A. Egorov (Novosibirsk) MSC: 31C45 46E35 × Cite Format Result Cite Review PDF
Vodop’yanov, S. K.; Ukhlov, A. D. Approximately differentiable transformations and change of variables on nilpotent groups. (English. Russian original) Zbl 0870.43005 Sib. Math. J. 37, No. 1, 62-78 (1996); translation from Sib. Mat. Zh. 37, No. 1, 70-89 (1996). Reviewer: Sergei S. Platonov (Petrozavodsk) MSC: 43A80 22E25 × Cite Format Result Cite Review PDF Full Text: DOI
Hamenstädt, Ursula Entropy-rigidity of locally symmetric spaces of negative curvature. (English) Zbl 0699.53049 Ann. Math. (2) 131, No. 1, 35-51 (1990). Reviewer: Dorin Andrica (Cluj-Napoca) MSC: 53C20 53C35 37D40 53D25 × Cite Format Result Cite Review PDF Full Text: DOI