Karmanova Maria Borisovna

Publications in Math-Net.Ru

1. Lipschitz Graphs on Heisenberg groups and Related Problems
   
   Mat. Zametki, 118:1 (2025),  154–158
2. Lipschitz graphs on classes of two-step Carnot groups
   
   Sibirsk. Mat. Zh., 66:5 (2025),  882–900
3. Noncontact mappings of general Carnot groups and a coarea formula
   
   Sibirsk. Mat. Zh., 66:4 (2025),  643–668
4. The area of images of classes of measurable sets on Carnot groups with sub-Lorentzian structure
   
   Sibirsk. Mat. Zh., 65:5 (2024),  926–952
5. Area of images of measurable sets on depth 2 Carnot manifolds with sub-Lorentzian structure
   
   Vladikavkaz. Mat. Zh., 26:4 (2024),  78–86
6. Metric characteristics of classes of compact sets on Carnot groups with sub-Lorentzian structure
   
   Vladikavkaz. Mat. Zh., 26:3 (2024),  56–64
7. Lipschitz images of open sets on sub-Lorentzian structures
   
   Mat. Tr., 26:2 (2023),  138–161
8. The area of surfaces on sub-Lorentzian structures of depth two
   
   Mat. Tr., 26:1 (2023),  93–119
9. Sub-Riemannian Co-Area Formula for Classes of Noncontact Mappings of Carnot Groups
   
   Mat. Zametki, 114:6 (2023),  940–944
10. Measure of Images of Contact Mappings on Two-Step Sub-Lorentzian Structures
    
    Mat. Zametki, 113:1 (2023),  149–153
11. Classes of noncontact mappings of Carnot groups and metric properties
    
    Sibirsk. Mat. Zh., 64:6 (2023),  1199–1223
12. Sub-riemannian properties of the level sets of noncontact mappings of Heisenberg groups
    
    Mat. Tr., 25:2 (2022),  107–125
13. Minimal surfaces over Carnot manifolds
    
    Mat. Tr., 25:1 (2022),  74–101
14. On the Approximability and Parametrization of Preimages of Elements of Carnot Groups on Sub-Lorentzian Structures
    
    Mat. Zametki, 111:1 (2022),  140–144
15. Sub-Lorentzian coarea formula for mappings of Carnot groups
    
    Sibirsk. Mat. Zh., 63:3 (2022),  587–612
16. Properties of minimal surfaces over depth 2 Carnot manifolds
    
    Sibirsk. Mat. Zh., 62:6 (2021),  1298–1312
17. The coarea formula for vector functions on Carnot groups with sub-Lorentzian structure
    
    Sibirsk. Mat. Zh., 62:2 (2021),  298–325
18. Space-likeness of classes of level surfaces on Carnot groups and their metric properties
    
    Dokl. RAN. Math. Inf. Proc. Upr., 492 (2020),  38–42
19. Coarea formula for functions on 2-step Carnot groups with sub-Lorentzian structure
    
    Dokl. RAN. Math. Inf. Proc. Upr., 491 (2020),  61–64
20. Metric properties of graphs on Carnot–Carathéodory spaces with sub-Lorentzian structure
    
    Dokl. RAN. Math. Inf. Proc. Upr., 490 (2020),  42–46
21. Two-step sub-Lorentzian structures and graph surfaces
    
    Izv. RAN. Ser. Mat., 84:1 (2020),  60–104
22. A Metric Characteristic of Minimal Surfaces on Arbitrary Carnot Groups
    
    Mat. Zametki, 108:6 (2020),  930–935
23. Classes of maximal surfaces on carnot groups
    
    Sibirsk. Mat. Zh., 61:5 (2020),  1009–1026
24. The area of graphs on arbitrary carnot groups with sub-lorentzian structure
    
    Sibirsk. Mat. Zh., 61:4 (2020),  823–848
25. Minimal graph-surfaces on arbitrary two-step Carnot groups
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2019, no. 5,  15–29
26. On local metric characteristics of level sets of ch1-mappings of carnot manifolds
    
    Sibirsk. Mat. Zh., 60:6 (2019),  1291–1309
27. On the class of Hölder surfaces in Carnot–Carathéodory spaces
    
    Sibirsk. Mat. Zh., 60:5 (2019),  1103–1132
28. Level sets of classes of mappings of two-step Carnot groups in a nonholonomic interpretation
    
    Sibirsk. Mat. Zh., 60:2 (2019),  391–400
29. Polynomial sub-Riemannian differentiability on Carnot–Carathéodory spaces
    
    Sibirsk. Mat. Zh., 59:5 (2018),  1086–1097
30. Three-dimensional graph surfaces on five-dimensional Carnot–Carathéodory spaces
    
    Sibirsk. Mat. Zh., 59:4 (2018),  834–857
31. Maximal surfaces on five-dimensional group structures
    
    Sibirsk. Mat. Zh., 59:3 (2018),  561–579
32. Area formulas for classes of Hölder continuous mappings of Carnot groups
    
    Sibirsk. Mat. Zh., 58:5 (2017),  1056–1079
33. The polynomial sub-Riemannian differentiability of some Hölder mappings of Carnot groups
    
    Sibirsk. Mat. Zh., 58:2 (2017),  305–332
34. Graph surfaces on five-dimensional sub-Lorentzian structures
    
    Sibirsk. Mat. Zh., 58:1 (2017),  122–142
35. Maximal graph surfaces on four-dimensional two-step sub-Lorentzian structures
    
    Sibirsk. Mat. Zh., 57:2 (2016),  350–363
36. Graph surfaces over three-dimensional Lie groups with sub-Riemannian structure
    
    Sibirsk. Mat. Zh., 56:6 (2015),  1351–1365
37. The area formula for graphs on $4$-dimensional $2$-step sub-Lorentzian structures
    
    Sibirsk. Mat. Zh., 56:5 (2015),  1068–1091
38. An area formula for Lipschitz mappings of Carnot–Carathéodory spaces
    
    Izv. RAN. Ser. Mat., 78:3 (2014),  53–78
39. Fine properties of basis vector fields on Carnot–Carathéodory spaces under minimal assumptions on smoothness
    
    Sibirsk. Mat. Zh., 55:1 (2014),  109–123
40. The graphs of Lipschitz functions and minimal surfaces on Carnot groups
    
    Sibirsk. Mat. Zh., 53:4 (2012),  839–861
41. An example of a Carnot manifold with $C^1$-smooth basis vector fields
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 5,  84–87
42. Area and coarea formulas for the mappings of Sobolev classes with values in a metric space
    
    Sibirsk. Mat. Zh., 48:4 (2007),  778–788
43. Metric Rademacher Theorem and the Area Formula for Metric-Valued Lipschitz Mappings
    
    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 6:4 (2006),  50–69