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 2025 |
| 1. |
Yu. G. Nikonorov, I. A. Zubareva, “On the behavior of geodesics of left-invariant sub-Riemannian metrics on the group ${\rm Aff}_0(\Bbb{R}) \times {\rm Aff}_0(\Bbb{R})$”, Electronic Research Archive, 33:1 (2025), 181–209   |
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| 2024 |
| 2. |
Yu. G. Nikonorov, O. Yu. Nikonorova, “Some extremal problems for polygons in the Euclidean plane”, Aequationes Mathematicae, 98:2 (2024), 603–624    |
| 3. |
V. N. Berestovskii, Yu. G. Nikonorov, “On the geometry of finite homogeneous subsets of Euclidean spaces”, Surveys in Geometry II, eds. A. Papadopoulos, Springer, Cham, 2024, 305–335 |
| 4. |
Yu. G. Nikonorov, “On geodesic orbit nilmanifolds”, Journal of Geometry and Physics, 203 (2024), 105257 , 12 pp. |
| 5. |
Yu. G. Nikonorov, “New examples of geodesic orbit nilmanifolds”, Facta Universitatis. Ser. Mathematics and Informatics, 39:5 (2024), 915–928 |
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| 2023 |
| 6. |
Z. Chen, Y. Nikolayevsky, Yu. Nikonorov, “Compact geodesic orbit spaces with a simple isotropy group”, Annals of Global Analysis and Geometry, 63:1 (2023), 7 , 34 pp. |
| 7. |
V. N. Berestovskii, Yu. G. Nikonorov, “On m-point homogeneous polytopes in Euclidean spaces”, Filomat, 37:25 (2023), 8405–8424 "https://www.pmf.ni.ac.rs/filomat-content/2023/37-25/37-25-1-18943.pdf" |
| 8. |
V. N. Berestovskii, Yu. G. Nikonorov, “O stratifikatsii i topologicheskoi strukture klassicheskikh kompaktnykh grupp Li”, Prikladnaya matematika & Fizika, 55:3 (2023), 207–219 "http://maths-physics-journal.ru/index.php/journal/article/view/204"  |
| 9. |
V. N. Berestovskii, Yu. G. Nikonorov, “Perfect and almost perfect homogeneous polytopes”, Journal of Mathematical Sciences, 271 (2023), 762–777 |
| 10. |
E. V. Nikitenko, Yu. G. Nikonorov, “The extreme polygons for the self Chebyshev radius of the boundary”, Studia Scientiarum Mathematicarum Hungarica, 60:4 (2023), 193–236 |
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| 2022 |
| 11. |
V. N. Berestovskii, Yu. G. Nikonorov, “Semiregular Gosset polytopes”, Izv. Math., 86:4 (2022), 667–698  |
| 12. |
V. N. Berestovskii, Yu. G. Nikonorov, “On finite homogeneous metric spaces”, Vladikavkaz Mathematical Journal, 24:2 (2022), 51–61 |
| 13. |
Yu. G. Nikonorov, “Properties of a curve whose convex hull covers a given convex body”, Beiträge zur Algebra und Geometrie, 63 (2022), 505–513 |
| 14. |
Yu. G. Nikonorov, Yu. V. Nikonorova, “One property of a planar curve whose convex hull covers a given convex figure”, Elemente der Mathematik, 77:4 (2022), 159–170 |
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| 2021 |
| 15. |
V. N. Berestovskii, Yu. G. Nikonorov, “Finite homogeneous subspaces of Euclidean spaces”, Siberian Adv. Math, 31:3 (2021), 155–176 |
| 16. |
Yu. G. Nikonorov, “Spectral properties of Killing vector fields of constant length and bounded Killing vector fields”, Operator Theory and Differential Equations, Trends in Mathematics, eds. Anatoly G. Kusraev, Zhanna D. Totieva, Birkhäuser, Cham, 2021, 143–154 |
| 17. |
V. Balestro, H. Martini, Yu. G. Nikonorov, Yu. V. Nikonorova, “Extremal problems for convex curves with a given self Chebyshev radius”, Results in Mathematics, 76:2 (2021), 87 , 13 pp. |
| 18. |
Ming Xu, Yu. G. Nikonorov, “Algebraic properties of bounded Killing vector fields”, Asian Journal of Mathematics, 25:2 (2021), 229–242 |
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| 2020 |
| 19. |
Yu. G. Nikonorov, “Asymptotics of mean value points: a survey”, Mathematische Semesterberichte, 67 (2020), 185–212 |
| 20. |
V. N. Berestovskii, Yu. G. Nikonorov, Riemannian Manifolds and Homogeneous Geodesics, Springer Monographs in Mathematics, Springer, Cham, 2020 , XXII+482 pp. |
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| 2019 |
| 21. |
Z. Chen, Yu. G. Nikonorov, “Invariant Einstein metrics on generalized Wallach spaces”, Science China Mathematics, 62:3 (2019), 569–584 |
| 22. |
Y. Nikolayevsky, Yu. G. Nikonorov, “On invariant Riemannian metrics on Ledger–Obata spaces”, Manuscripta Mathematica, 158:3–4 (2019), 353–370 |
| 23. |
V. N. Berestovskii, Yu. G. Nikonorov, “On homogeneous geodesics and weakly symmetric spaces”, Ann. Glob. Anal. Geom., 55:3 (2019), 575–589 |
| 24. |
Yu. G. Nikonorov, “On left-invariant Einstein Riemannian metrics that are not geodesic orbit”, Transform. Groups, 24:2 (2019), 511–530 |
| 25. |
Z. Chen, Yu. G. Nikonorov, “Geodesic orbit Riemannian spaces with two isotropy summands. I”, Geometriae Dedicata, 203:1 (2019), 163–178 |
| 26. |
V. N. Berestovskii, Yu. G. Nikonorov, “Finite homogeneous metric spaces”, Siberian Math. J., 60:5 (2019), 757–773  |
| 27. |
Yu. G. Nikonorov, “Spectral properties of Killing vector fields of constant length”, Journal of Geometry and Physics, 145 (2019), 103485 , 8 pp. |
|
| 2018 |
| 28. |
C. S. Gordon, Yu. G. Nikonorov, “Geodesic orbit Riemannian structures on $\mathbb{R}^n$”, Journal of Geometry and Physics, 134 (2018), 235–243 |
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| 2017 |
| 29. |
Z. Chen, Yu. G. Nikonorov, Yu. V. Nikonorova, “Invariant Einstein metrics on Ledger–Obata spaces”, Differential Geometry and its Applications, 50 (2017), 71–87 |
| 30. |
Yu. G. Nikonorov, “On the structure of geodesic orbit Riemannian spaces”, Ann. Glob. Anal. Geom., 52:3 (2017), 289–311 |
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| 2016 |
| 31. |
Yu. G. Nikonorov, “Classification of generalized Wallach spaces”, Geometriae Dedicata, 181:1 (2016), 193–212 |
| 32. |
N. A. Abiev, Yu. G. Nikonorov, “The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow”, Ann. Glob. Anal. Geom., 50:1 (2016), 65–84 |
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| 2015 |
| 33. |
Y. Nikolayevsky, Yu. G. Nikonorov, “On solvable Lie group of negative Ricci curvature”, Mathematische Zeitschrift, 280:1–2 (2015), 1–16 |
| 34. |
Yu. G. Nikonorov, “Killing vector fields of constant length on compact homogeneous Riemannian manifolds”, Ann. Glob. Anal. Geom., 48:4 (2015), 305–330 |
| 35. |
Yu. G. Nikonorov, Asymptotics of the mean value points, SMI VSC RAS, Vladikavkaz, 2015 , 200 pp. |
|
| 2014 |
| 36. |
V. N. Berestovskii, Yu. G. Nikonorov, “Generalized normal homogeneous Riemannian metrics on spheres and projective spaces”, Ann. Glob. Anal. Geom., 45:3 (2014), 167–196 |
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| 2015 |
| 37. |
Yu. G. Nikonorov, “Asymptotics of mean value points in the Schwarz theorem for divided differences”, Siberian Adv. Math., 25:1 (2015), 56–75 |
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| 2014 |
| 38. |
Yu. G. Nikonorov, “Negative eigenvalues of the Ricci operator of solvable metric Lie algebras”, Geometriae Dedicata, 170:1 (2014), 119–133 |
| 39. |
N. A. Abiev, A. Arvanitoyeorgos, Yu. G. Nikonorov, P. Siasos, “The dynamics of the Ricci flow on generalized Wallach spaces”, Differential Geometry and its Applications, 35:Supplement (2014), 26–43 |
| 40. |
N. A. Abiev, A. Arvanitoyeorgos, Yu. G. Nikonorov, P. Siasos, “The Ricci flow on some generalized Wallach spaces”, Geometry and its Applications, Springer Proceedings in Mathematics & Statistics, Vol. 72, eds. V. Rovenski, P. Walczak, Springer, 2014, 3–37 |
| 41. |
N. V. Abrosimov, E. Makai, Jr., A. D. Mednih, Yu. G. Nikonorov, G. Rote, “The infinum of the volumes of convex polytops of any given facet areas is $0$”, Studia Scientiarum Mathematicarum Hungarica, 51:4 (2014), 466–519 |
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| 2015 |
| 42. |
Yu. G. Nikonorov, “Peano's theorem and coplanarity points of space curves”, Siberian Adv. Math., 25, No 2, 124–137 (2015), Siberian Adv. Math., 25:2 (2015), 124–137 |
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| 2014 |
| 43. |
Yu. G. Nikonorov, “Killing vector fields and the curvature tensor of a Riemannian manifold”, Siberian Adv. Math., 24:3 (2014), 187–192 |
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| 2013 |
| 44. |
Yu. G. Nikonorov, “Geodesic orbit manifolds and Killing fields of constant length”, Hiroshima Math. J., 43:1 (2013), 129–137 Project Euclid |
| 45. |
Yu. G. Nikonorov, “Geodesic orbit Riemannian metrics on spheres”, Vladikavkaz. Mat. Zh., 15:3 (2013), 67-76 |
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| 2012 |
| 46. |
Yu. G. Nikonorov, “Asymptotic behavior of support points for planar curves”, J. Math. Anal. Appl., 391:1 (2012), 147–158 |
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| 2013 |
| 47. |
Yu. G. Nikonorov, “Double exponential map on symmetric spaces”, Siberian Adv. Math., 23:3 (2013), 210–218 |
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| 2012 |
| 48. |
V. N. Berestovskii, Yu. G. Nikonorov, Riemannian manifolds and homogeneous geodesics, SMI VSC RAS, Vladikavkaz, 2012 , 414 pp. |
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| 2014 |
| 49. |
Yu. G. Nikonorov, M. S. Chebarykov, “The Ricci operator of completely solvable metric Lie algebras”, Siberian Adv. Math., 24:1 (2014), 18–25 |
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| 2012 |
| 50. |
Yu. G. Nikonorov, “Asymptotics of tangent points for planar curves”, Siberian Adv. Math., 22:3 (2012), 192–203 |
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| 2011 |
| 51. |
V. N. Berestovskii, E. V. Nikitenko, Yu. G. Nikonorov, “Classification of generalized normal homogeneous Riemannian manifolds of positive Euler characteristic”, Differential Geometry and its Applications, 29:4 (2011), 533–546 |
| 52. |
Yu. G. Nikonorov, Yu. V. Nikonorova, “On an approach to the solution of the J. W. Fickett problem of overlapping congruent polygons”, Vladikavkaz. Mat. Zh., 13:4 (2011), 52–59 |
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| 2010 |
| 53. |
A. G. Kremlyov, Yu. G. Nikonorov, “The signature of the Ricci curvature of left-invariant Riemannian metrics on four-dimensional Lie groups. The nonunimodular case”, Siberian Adv. Math., 20:1 (2010), 1–57 |
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| 2009 |
| 54. |
Dmitrii V. Alekseevsky, Yurii G. Nikonorov, “Compact Riemannian Manifolds with Homogeneous Geodesics”, SIGMA, 5 (2009), 93–16 |
| 55. |
V. N. Berestovskii, Yu. G. Nikonorov, “On $\delta$-homogeneous Riemannian manifolds. II”, Siberian Math. J., 50:2 (2009), 214–222 |
| 56. |
V. N. Berestovskii, Yu. G. Nikonorov, “Clifford-Wolf homogeneous Riemannian manifolds”, Journal of Differential Geometry, 82:3 (2009), 467–500 Project Euclid |
| 57. |
A. Arvanitoyeorgos, V. V. Dzhepko, Yu. G. Nikonorov, “Invariant Einstein metrics on some homogeneous spaces of classical Lie groups”, Canadian Journal of Mathematics, 61:6 (2009), 1201–1213 |
| 58. |
A. G. Kremlyov, Yu. G. Nikonorov, “The Signature of the Ricci Curvature of Left-Invariant Riemannian Metrics on Four-Dimensional Lie Groups. The Unimodular Case”, Siberian Adv. Math., 19:4 (2009), 245–267 |
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| 2008 |
| 59. |
V. N. Berestovskii, Yu. G. Nikonorov, “Killing vector fields of constant length on Riemannian manifolds”, Siberian Math. J., 49:3 (2008), 395–407 |
| 60. |
V. N. Berestovskii, Yu. G. Nikonorov, “On $\delta$-homogeneous Riemannian manifolds”, Differential Geometry and its Applications, 26:5 (2008), 514–535 |
| 61. |
Yu. G. Nikonorov, Yu. V. Nikonorova, “The intrinsic diameter of the surface of a parallelepiped”, Discrete and Computational Geometry, 40:4 (2008), 504–527 |
| 62. |
A. Arvanitoyeorgos, V. V. Dzhepko, Yu. G. Nikonorov, “Invariant Einstein metrics on certain Stiefel manifolds”, Kowalski, Oldrich (ed.) et al., Differential geometry and its applications. Proceedings of the 10th international conference on differential geometry and its applications, DGA 2007 (Olomouc, Czech Republic, August 27–31, 2007), World Scientific, Hackensack, NJ, 2008, 35–44 |
| 63. |
V. V. Balaschenko, Yu. G. Nikonorov, E. D. Rodionov, V. V. Slavskii, Odnorodnye prostranstva: teoriya i prilozheniya, Poligrafist, Khanty-Mansiisk, 2008 , 280 pp. |
| 64. |
V. N. Berestovskii, Yu. G. Nikonorov, “Killing vector fields of constant length on locally symmetric Riemannian manifolds”, Transform. Groups, 13:1 (2008), 25–45 |
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| 2009 |
| 65. |
V. N. Berestovskii, Yu. G. Nikonorov, “The Chebyshev norm on the Lie algebra of the motion group of a compact homogeneous Finsler manifold”, Journal of Mathematical Sciences (New York), 161:1 (2009), 97–121 |
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| 2008 |
| 66. |
V. N. Berestovskii, Yu. G. Nikonorov, “On Clifford-Wolf homogeneous Riemannian manifolds”, Doklady Mathematics, 78:3 (2008), 807–810 |
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