Edit Profile (opens in new tab) Karmanova, Maria B. Co-Author Distance Author ID: karmanova.maria-b Published as: Karmanova, Maria; Karmanova, M. B.; Karmanova, Maria B. more...less Documents Indexed: 73 Publications since 2005 Co-Authors: 1 Co-Author with 8 Joint Publications 128 Co-Co-Authors Co-Authors 65 single-authored 8 Vodop’yanov, Sergeĭ Konstantinovich all top 5 Serials 35 Doklady Mathematics 19 Siberian Mathematical Journal 3 Mathematical Notes 2 Russian Mathematics 2 Izvestiya: Mathematics 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Journal of Functional Analysis 1 Sibirskiĭ Matematicheskiĭ Zhurnal 1 Acta Applicandae Mathematicae 1 Geometric and Functional Analysis. GAFA 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Complex Variables and Elliptic Equations 1 Annals of the University of Bucharest. Mathematical Series all top 5 Fields 62 Differential geometry (53-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 9 Measure and integration (28-XX) 5 Functional analysis (46-XX) 4 Topological groups, Lie groups (22-XX) 4 Real functions (26-XX) 4 Functions of a complex variable (30-XX) 4 Partial differential equations (35-XX) 3 Geometry (51-XX) 2 Combinatorics (05-XX) 2 Convex and discrete geometry (52-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 Nonassociative rings and algebras (17-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 63 Publications have been cited 129 times in 84 Documents Cited by ▼ Year ▼ Geometry of Carnot-Carathéodory spaces differentiability, coarea and area formulas. Zbl 1297.53029Karmanova, Maria; Vodop’yanov, Sergey 54 2009 The graphs of Lipschitz functions and minimal surfaces on Carnot groups. Zbl 1262.53029Karmanova, M. B. 26 2012 The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups. Zbl 1375.53045Karmanova, M. B. 25 2017 Area and coarea formulas for the mappings of Sobolev classes with values in a metric space. Zbl 1164.46323Karmanova, M. B. 18 2007 A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces. Zbl 1304.53024Karmanova, M.; Vodopyanov, S. 16 2013 An area formula for Lipschitz mappings of Carnot-Carathéodory spaces. Zbl 1305.53042Karmanova, M. B. 15 2014 Area formulas for classes of Hölder continuous mappings of Carnot groups. Zbl 1392.53051Karmanova, M. B. 13 2017 Local geometry of Carnot manifolds under minimal smoothness. Zbl 1175.53046Vodop’yanov, S. K.; Karmanova, M. B. 11 2007 Approximation of Hölder mappings on Carnot-Carathéodory spaces. Zbl 1375.53046Karmanova, M. B. 10 2017 The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures. Zbl 1345.53035Karmanova, M. B. 10 2015 Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal assumptions on smoothness. Zbl 1306.53020Karmanova, M. B. 10 2014 On local approximation theorem on equiregular Carnot-Carathéodory spaces. Zbl 1294.53032Karmanova, Maria; Vodopyanov, Sergey 9 2014 Sub-Riemannian geometry for vector fields of minimal smoothness. Zbl 1184.53035Vodop’yanov, S. K.; Karmanova, M. B. 8 2008 Rectifiable sets and coarea formula for metric-valued mappings. Zbl 1159.28002Karmanova, Maria 8 2008 Two-step sub-Lorentzian structures and graph surfaces. Zbl 1440.53038Karmanova, Maria B. 7 2020 An area formula for \(C^{1}\)-smooth contact mappings of Carnot manifolds. Zbl 1180.53035Vodop’yanov, S. K.; Karmanova, M. B. 7 2008 Variations of nonholonomic-valued mappings and their applications to maximal surface theory. Zbl 1354.53047Karmanova, M. B. 7 2016 Maximal graph surfaces on four-dimensional two-step sub-Lorentzian structures. Zbl 1350.53043Karmanova, M. B. 7 2016 Class of maximal graph surfaces on multidimensional two-step sub-Lorentzian structures. Zbl 1402.53026Karmanova, M. B. 7 2018 Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure. Zbl 1338.53057Karmanova, M. B. 7 2015 An area formula for contact \(C^{1}\)-mappings of Carnot manifolds. Zbl 1193.51015Karmanova, Maria; Vodopyanov, Sergey 6 2010 A coarea formula for smooth contact mappings of Carnot manifolds. Zbl 1153.53056Vodop’yanov, S. K.; Karmanova, M. B. 6 2007 Graph surfaces on five-dimensional sub-Lorentzian structures. Zbl 1375.53044Karmanova, M. B. 6 2017 A new approach to investigation of Carnot-Carathéodory geometry. Zbl 1238.53018Karmanova, Maria 6 2011 Maximal surfaces on five-dimensional group structures. Zbl 1402.53025Karmanova, M. B. 6 2018 Graphs of Lipschitz functions and minimal surfaces on Carnot groups. Zbl 1257.53050Karmanova, M. B. 5 2012 Polynomial sub-Riemannian differentiability on Carnot groups. Zbl 1362.53041Karmanova, M. B. 5 2016 Area formula for graph surfaces on five-dimensional sub-Lorentzian structures. Zbl 1350.53042Karmanova, M. B. 5 2016 The area of graph surfaces on four-dimensional two-step sub-Lorentzian structures. Zbl 1334.53022Karmanova, M. B. 5 2015 Graphs of Lipschitz mappings on two-step sub-Lorentzian structures with multidimensional time. Zbl 1403.53032Karmanova, M. B. 5 2018 An area formula for Lipschitz mappings of Carnot-Carathéodory spaces. Zbl 1216.53038Karmanova, M. B. 4 2008 Minimal graph-surfaces on arbitrary two-step Carnot groups. Zbl 1454.49039Karmanova, M. B. 4 2019 Metric properties of classes of Hölder surfaces on Carnot groups. Zbl 1379.22004Karmanova, M. B. 4 2017 Surface area on two-step sub-Lorentzian structures with multi-dimensional time. Zbl 1375.53047Karmanova, M. B. 4 2017 Graph surfaces of codimension two over three-dimensional Carnot-Carathéodory spaces. Zbl 1356.53038Karmanova, M. B. 4 2016 Graph surfaces over three-dimensional Carnot-Carathéodory spaces. Zbl 1334.53021Karmanova, M. B. 4 2015 Geometric measure theory formulas on rectifiable metric spaces. Zbl 1185.28007Karmanova, Maria 3 2007 A new approach to investigation of Carnot-Carathéodory geometry. Zbl 1213.53046Karmanova, M. B. 3 2010 The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure. Zbl 1451.53048Karmanova, M. B. 3 2020 Hölder mappings of Carnot groups and intrinsic bases. Zbl 1366.53021Karmanova, M. B. 3 2017 Polynomial sub-Riemannian differentiability on Carnot-Carathéodory spaces. Zbl 1478.53060Karmanova, M. B. 3 2018 Convergence of scaled vector fields and local approximation theorem on Carnot-Carathéodory spaces and applications. Zbl 1241.53030Karmanova, M. B. 3 2011 Metric differentiability of mappings and geometric measure theory. Zbl 1272.28001Karmanova, M. B. 3 2005 Metric Rademacher theorem and the area formula for metric-valued Lipschitz mappings. Zbl 1249.46061Karmanova, M. B. 3 2006 Rectifiable sets and the coarea formula for metric-valued mappings. Zbl 1327.49075Karmanova, M. B. 3 2006 Area of graph surfaces on Carnot groups with sub-Lorentzian structure. Zbl 1419.53035Karmanova, M. B. 3 2019 Sufficient maximality conditions for surfaces on two-step sub-Lorentzian structures. Zbl 1505.53044Karmanova, M. B. 3 2019 Maximal surfaces on two-step sub-Lorentzian structures. Zbl 1477.53054Karmanova, Maria 2 2020 Graphs of nonsmooth contact mappings on Carnot groups with sub-Lorentzian structure. Zbl 1426.05170Karmanova, M. B. 2 2019 On the class of Hölder surfaces in Carnot-Carathéodory spaces. Zbl 1454.53032Karmanova, M. B. 2 2019 Classes of maximal surfaces on Carnot groups. Zbl 1450.53045Karmanova, M. B. 2 2020 Three-dimensional graph surfaces on five-dimensional Carnot-Carathéodory spaces. Zbl 1412.53052Karmanova, M. B. 2 2018 Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure. Zbl 1480.53046Karmanova, M. B. 1 2020 The coarea formula for vector functions on Carnot groups with sub-Lorentzian structure. Zbl 1467.53033Karmanova, M. B. 1 2021 On local metric characteristics of level sets of \(C_H^1\)-mappings of Carnot manifolds. Zbl 1441.53025Karmanova, M. B. 1 2019 On geometric measure theory on rectifiable metric spaces. Zbl 1212.28001Karmanova, Maria 1 2009 Characteristic sets for smooth contact mappings of Carnot-Carathéodory spaces. Zbl 1176.53043Karmanova, M. B. 1 2009 Properties of minimal surfaces over depth 2 Carnot manifolds. Zbl 1484.53062Karmanova, M. B. 1 2021 Area of some Hölder surfaces on Carnot-Carathéodory spaces. Zbl 1406.53038Karmanova, M. B. 1 2018 An example of a Carnot manifold with \(C^{1}\)-smooth basis vector fields. Zbl 1235.53035Karmanova, M. B. 1 2011 Fine properties of weighted Carnot-Carathéodory spaces under minimal assumptions on smoothness. Zbl 1389.51005Karmanova, Maria 1 2014 On minimal surfaces on two-step Carnot groups. Zbl 1484.53061Karmanova, M. B. 1 2019 Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation. Zbl 1419.53036Karmanova, M. B. 1 2019 The coarea formula for vector functions on Carnot groups with sub-Lorentzian structure. Zbl 1467.53033Karmanova, M. B. 1 2021 Properties of minimal surfaces over depth 2 Carnot manifolds. Zbl 1484.53062Karmanova, M. B. 1 2021 Two-step sub-Lorentzian structures and graph surfaces. Zbl 1440.53038Karmanova, Maria B. 7 2020 The area of graphs on arbitrary Carnot groups with sub-Lorentzian structure. Zbl 1451.53048Karmanova, M. B. 3 2020 Maximal surfaces on two-step sub-Lorentzian structures. Zbl 1477.53054Karmanova, Maria 2 2020 Classes of maximal surfaces on Carnot groups. Zbl 1450.53045Karmanova, M. B. 2 2020 Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure. Zbl 1480.53046Karmanova, M. B. 1 2020 Minimal graph-surfaces on arbitrary two-step Carnot groups. Zbl 1454.49039Karmanova, M. B. 4 2019 Area of graph surfaces on Carnot groups with sub-Lorentzian structure. Zbl 1419.53035Karmanova, M. B. 3 2019 Sufficient maximality conditions for surfaces on two-step sub-Lorentzian structures. Zbl 1505.53044Karmanova, M. B. 3 2019 Graphs of nonsmooth contact mappings on Carnot groups with sub-Lorentzian structure. Zbl 1426.05170Karmanova, M. B. 2 2019 On the class of Hölder surfaces in Carnot-Carathéodory spaces. Zbl 1454.53032Karmanova, M. B. 2 2019 On local metric characteristics of level sets of \(C_H^1\)-mappings of Carnot manifolds. Zbl 1441.53025Karmanova, M. B. 1 2019 On minimal surfaces on two-step Carnot groups. Zbl 1484.53061Karmanova, M. B. 1 2019 Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation. Zbl 1419.53036Karmanova, M. B. 1 2019 Class of maximal graph surfaces on multidimensional two-step sub-Lorentzian structures. Zbl 1402.53026Karmanova, M. B. 7 2018 Maximal surfaces on five-dimensional group structures. Zbl 1402.53025Karmanova, M. B. 6 2018 Graphs of Lipschitz mappings on two-step sub-Lorentzian structures with multidimensional time. Zbl 1403.53032Karmanova, M. B. 5 2018 Polynomial sub-Riemannian differentiability on Carnot-Carathéodory spaces. Zbl 1478.53060Karmanova, M. B. 3 2018 Three-dimensional graph surfaces on five-dimensional Carnot-Carathéodory spaces. Zbl 1412.53052Karmanova, M. B. 2 2018 Area of some Hölder surfaces on Carnot-Carathéodory spaces. Zbl 1406.53038Karmanova, M. B. 1 2018 The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups. Zbl 1375.53045Karmanova, M. B. 25 2017 Area formulas for classes of Hölder continuous mappings of Carnot groups. Zbl 1392.53051Karmanova, M. B. 13 2017 Approximation of Hölder mappings on Carnot-Carathéodory spaces. Zbl 1375.53046Karmanova, M. B. 10 2017 Graph surfaces on five-dimensional sub-Lorentzian structures. Zbl 1375.53044Karmanova, M. B. 6 2017 Metric properties of classes of Hölder surfaces on Carnot groups. Zbl 1379.22004Karmanova, M. B. 4 2017 Surface area on two-step sub-Lorentzian structures with multi-dimensional time. Zbl 1375.53047Karmanova, M. B. 4 2017 Hölder mappings of Carnot groups and intrinsic bases. Zbl 1366.53021Karmanova, M. B. 3 2017 Variations of nonholonomic-valued mappings and their applications to maximal surface theory. Zbl 1354.53047Karmanova, M. B. 7 2016 Maximal graph surfaces on four-dimensional two-step sub-Lorentzian structures. Zbl 1350.53043Karmanova, M. B. 7 2016 Polynomial sub-Riemannian differentiability on Carnot groups. Zbl 1362.53041Karmanova, M. B. 5 2016 Area formula for graph surfaces on five-dimensional sub-Lorentzian structures. Zbl 1350.53042Karmanova, M. B. 5 2016 Graph surfaces of codimension two over three-dimensional Carnot-Carathéodory spaces. Zbl 1356.53038Karmanova, M. B. 4 2016 The area formula for graphs on 4-dimensional 2-step sub-Lorentzian structures. Zbl 1345.53035Karmanova, M. B. 10 2015 Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure. Zbl 1338.53057Karmanova, M. B. 7 2015 The area of graph surfaces on four-dimensional two-step sub-Lorentzian structures. Zbl 1334.53022Karmanova, M. B. 5 2015 Graph surfaces over three-dimensional Carnot-Carathéodory spaces. Zbl 1334.53021Karmanova, M. B. 4 2015 An area formula for Lipschitz mappings of Carnot-Carathéodory spaces. Zbl 1305.53042Karmanova, M. B. 15 2014 Fine properties of basis vector fields on Carnot-Carathéodory spaces under minimal assumptions on smoothness. Zbl 1306.53020Karmanova, M. B. 10 2014 On local approximation theorem on equiregular Carnot-Carathéodory spaces. Zbl 1294.53032Karmanova, Maria; Vodopyanov, Sergey 9 2014 Fine properties of weighted Carnot-Carathéodory spaces under minimal assumptions on smoothness. Zbl 1389.51005Karmanova, Maria 1 2014 A coarea formula for smooth contact mappings of Carnot-Carathéodory spaces. Zbl 1304.53024Karmanova, M.; Vodopyanov, S. 16 2013 The graphs of Lipschitz functions and minimal surfaces on Carnot groups. Zbl 1262.53029Karmanova, M. B. 26 2012 Graphs of Lipschitz functions and minimal surfaces on Carnot groups. Zbl 1257.53050Karmanova, M. B. 5 2012 A new approach to investigation of Carnot-Carathéodory geometry. Zbl 1238.53018Karmanova, Maria 6 2011 Convergence of scaled vector fields and local approximation theorem on Carnot-Carathéodory spaces and applications. Zbl 1241.53030Karmanova, M. B. 3 2011 An example of a Carnot manifold with \(C^{1}\)-smooth basis vector fields. Zbl 1235.53035Karmanova, M. B. 1 2011 An area formula for contact \(C^{1}\)-mappings of Carnot manifolds. Zbl 1193.51015Karmanova, Maria; Vodopyanov, Sergey 6 2010 A new approach to investigation of Carnot-Carathéodory geometry. Zbl 1213.53046Karmanova, M. B. 3 2010 Geometry of Carnot-Carathéodory spaces differentiability, coarea and area formulas. Zbl 1297.53029Karmanova, Maria; Vodop’yanov, Sergey 54 2009 On geometric measure theory on rectifiable metric spaces. Zbl 1212.28001Karmanova, Maria 1 2009 Characteristic sets for smooth contact mappings of Carnot-Carathéodory spaces. Zbl 1176.53043Karmanova, M. B. 1 2009 Sub-Riemannian geometry for vector fields of minimal smoothness. Zbl 1184.53035Vodop’yanov, S. K.; Karmanova, M. B. 8 2008 Rectifiable sets and coarea formula for metric-valued mappings. Zbl 1159.28002Karmanova, Maria 8 2008 An area formula for \(C^{1}\)-smooth contact mappings of Carnot manifolds. Zbl 1180.53035Vodop’yanov, S. K.; Karmanova, M. B. 7 2008 An area formula for Lipschitz mappings of Carnot-Carathéodory spaces. Zbl 1216.53038Karmanova, M. B. 4 2008 Area and coarea formulas for the mappings of Sobolev classes with values in a metric space. Zbl 1164.46323Karmanova, M. B. 18 2007 Local geometry of Carnot manifolds under minimal smoothness. Zbl 1175.53046Vodop’yanov, S. K.; Karmanova, M. B. 11 2007 A coarea formula for smooth contact mappings of Carnot manifolds. Zbl 1153.53056Vodop’yanov, S. K.; Karmanova, M. B. 6 2007 Geometric measure theory formulas on rectifiable metric spaces. Zbl 1185.28007Karmanova, Maria 3 2007 Metric Rademacher theorem and the area formula for metric-valued Lipschitz mappings. Zbl 1249.46061Karmanova, M. B. 3 2006 Rectifiable sets and the coarea formula for metric-valued mappings. Zbl 1327.49075Karmanova, M. B. 3 2006 Metric differentiability of mappings and geometric measure theory. Zbl 1272.28001Karmanova, M. B. 3 2005 all cited Publications top 5 cited Publications all top 5 Cited by 56 Authors 8 Vodop’yanov, Sergeĭ Konstantinovich 7 Karmanova, Maria B. 5 Selivanova, Svetlana V. 4 Basalaev, Sergey G. 4 Greshnov, Aleksandr Valer’evich 2 Bramanti, Marco 2 Hajłasz, Piotr 2 Montanari, Annamaria 2 Morbidelli, Daniele 2 Tryamkin, Maksim Vladimirovich 1 Arutyunov, Aram Vladimirovic 1 Azzam, Jonas 1 Battaglia, Erika 1 Biagi, Stefano 1 Brakalova, Melkana Aleksandrova 1 Brandolini, Luca 1 Breiner, Christine 1 Buliga, Marius G. 1 Cinti, Eleonora 1 Franchi, Bruno 1 Garriga, Marcela 1 González, María del Mar 1 Huang, Yonghong 1 Isangulova, D. V. 1 Julia, Antoine 1 Kapovitch, Vitali 1 Karmanova, M. V. 1 Karmanova, Mariya Borisovna 1 Kleprlík, Luděk 1 Korobkov, Mikhail V. 1 Kozhevnikov, A. D. 1 Kristensen, Jan 1 Kuznetsov, M. V. 1 Lytchak, Alexander 1 Manfredini, Maria 1 Markina, Irina 1 Mese, Chikako 1 Mitsuishi, Ayato 1 Molchanova, Anastasia Olegovna 1 Montefalcone, Francescopaolo 1 Nicolussi Golo, Sebastiano 1 Ochoa, Pablo D. 1 Pedroni, Marco 1 Perry, Daniel J. 1 Roskovec, Tomáš G. 1 Schul, Raanan 1 Sun, Shanzhong 1 Tralli, Giulio 1 Türeli, Sina 1 Vasilev, Alexander 1 Vittone, Davide 1 Wang, Wei 1 Wu, Qingyan 1 Yamaguchi, Takao 1 Yang, Hongzhen 1 Zimmerman, Scott all top 5 Cited in 30 Serials 25 Siberian Mathematical Journal 22 Doklady Mathematics 3 Russian Mathematics 2 Mathematical Notes 2 Journal of Functional Analysis 2 Geometric and Functional Analysis. GAFA 2 Matematicheskie Trudy 2 Journal of Dynamical and Control Systems 1 Arkiv för Matematik 1 Indiana University Mathematics Journal 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Proceedings of the American Mathematical Society 1 Real Analysis Exchange 1 Results in Mathematics 1 Acta Applicandae Mathematicae 1 Optimization 1 The Journal of Geometric Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Calculus of Variations and Partial Differential Equations 1 Izvestiya: Mathematics 1 Geometry & Topology 1 Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya: Matematika, Mekhanika, Informatika 1 Complex Variables and Elliptic Equations 1 Communications in Mathematical Analysis 1 Frontiers of Mathematics in China 1 Analysis and Geometry in Metric Spaces all top 5 Cited in 22 Fields 67 Differential geometry (53-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 9 Measure and integration (28-XX) 9 Partial differential equations (35-XX) 8 General topology (54-XX) 6 Topological groups, Lie groups (22-XX) 6 Real functions (26-XX) 6 Functional analysis (46-XX) 6 Global analysis, analysis on manifolds (58-XX) 5 Geometry (51-XX) 3 Functions of a complex variable (30-XX) 2 Nonassociative rings and algebras (17-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year