Faculty of Mathematics and Mechanics
of Novosibirsk State University (1993),
Ph. D. thesis (2001).
Main publications:
Abiev N. A., Nikonorov Yu. G., “The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow”, Annals of Global Analysis and Geometry, 50:1 (2016), 65–84 , arXiv: 1509.09263v3
Abiev N. A., “Two-parametric bifurcations of singular points of the normalized Ricci flow on generalized Wallach spaces”, Advancements in Mathematical Sciences (Antalya, Turkey, November 5–7, 2015), AIP Conference Proceedings, 1676, AIP Publishing, 2015, 1–6
Abiev N. A., Arvanitoyeorgos A., Nikonorov Yu. G., Siasos P, “The dynamics of the Ricci flow on generalized Wallach spaces”, Differential Geometry and its Applications, 35 (2014), 26–43
Abiev N. A., Arvanitoyeorgos A., Nikonorov Yu. G., Siasos P, “The Ricci flow on some generalized Wallach spaces”, Geometry and its Applications (Haifa, Israel, May 15–18, 2013), Springer Proceedings in Mathematics and Statistics, 72, eds. V. Rovenski, P. Walczak, Springer, Switzerland, 2014, 3–37
Abiev N. A., “On the Ricci curvature of solvable metric Lie algebras with two-step nilpotent derived algebras”, Siberian Advances in Mathematics, 24:1 (2014), 1–11
Abiev N. A., Arvanitoyeorgos A., Nikonorov Yu. G., Siasos P, “The dynamics of the Ricci flow on generalized Wallach spaces”, Differential Geometry and its Applications, 35 (2014), 26–43
Abiev N. A., Nikonorov Yu. G., “The evolution of positively curved invariant Riemannian metrics on the Wallach spaces under the Ricci flow”, Annals of Global Analysis and Geometry, 50:1 (2016), 65–84 , arXiv: 1509.09263v3
Abiev N. A., Arvanitoyeorgos A., Nikonorov Yu. G., Siasos P, “The Ricci flow on some generalized Wallach spaces”, Geometry and its Applications (Haifa, Israel, May 15–18, 2013), Springer Proceedings in Mathematics and Statistics, 72, eds. V. Rovenski, P. Walczak, Springer, Switzerland, 2014, 3–37
Abiev N. A., “On topological structure of some sets related to the normalized Ricci flow on generalized Wallach spaces”, Vladikavkaz Mathematical Journal, 17:3 (2015), 5–13
Abiev N. A, “On evolution of invariant Riemannian metrics on generalized Wallach spaces under the normalized Ricci flow”, Functional Analysis in Interdisciplinary Applications (Astana, Kazakhstan, October 2–5, 2017), Springer Proceedings in Mathematics and Statistics, 216, eds. T. Kalmenov, E. Nursultanov, M. Ruzhansky, M. Sadybekov, Springer, Cham, 2017, 2–22
Abiev N. A., “Two-parametric bifurcations of singular points of the normalized Ricci flow on generalized Wallach spaces”, Advancements in Mathematical Sciences (Antalya, Turkey, November 5–7, 2015), AIP Conference Proceedings, 1676, AIP Publishing, 2015, 1–6
Abiev N. A., “On the Ricci curvature of solvable metric Lie algebras with two-step nilpotent derived algebras”, Siberian Advances in Mathematics, 24:1 (2014), 1–11
8.
Nurlan Abiev, “On the dynamics of a three-dimensional differential system
related to the normalized Ricci flow on generalized Wallach spaces”, Results in Mathematics, 79:5, 198 (2024) (Published online)
9.
Abiev N.A., “On the evolution of invariant Riemannian metrics on one class of generalized Wallach spaces under the influence of the normalized Ricci flow”, Siberian Advances in Mathematics, 27:4 (2017), 227–238
10.
Abiev N. A. Nikonorov Yu. G., “Ob evolyutsii rimanovykh metrik polozhitelnoi krivizny na prostranstvakh Uollakha pod vliyaniem potoka Richchi”, Matematicheskii forum, 11 (2017), 1–14
11.
N. A. Abiev, “On classification of degenerate singular points of Ricci flows”, Bulletin of the Karaganda University-Mathematics, 79:3 (2015), 3–11
12.
Abiev N. A., Arvanitoiorgos A., Nikonorov Yu. G., Siasos P., “Normalizovannyi potok Richchi na obobschennykh prostranstvakh Uollakha”, Matematicheskii forum, 8:1 (2014), 25–42
13.
N. A. Abiev, “On necessary and sufficient conditions of appearing degenerate singular points of the Ricci flows”, Bulletin of the Karaganda University-Mathematics, 73:1 (2014), 9–15
14.
N. A. Abiev, “On linearization of the system of nonlinear ODEs appearing at investigations of Ricci flows on generalized Wallach spaces”, Bulletin of the Karaganda University-Mathematics, 73:1 (2014), 4–9
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