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Abiev Nurlan Abievich
Abiev Nurlan Abievich
Associate professor
Candidate of physico-mathematical sciences (2001)

Speciality: 01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date: 21.06.1971
E-mail:
Keywords: Ricci curvature, metric Lie algebras, Ricci flows, generalized Wallach spaces, invariant Riemannian metrics, dynamical systems.
UDC: 517.938, 514.765
MSC: 53C30, 53C44, 37C10, 34C05, 14P05, 14Q10

Subject:

Differential Equations, Differential Geometry


Main publications:
  1. 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  crossref  mathscinet  zmath  isi  scopus
  2. 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  crossref  isi  scopus
  3. 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  crossref  mathscinet  zmath  isi  scopus
  4. 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  crossref  mathscinet  zmath  scopus
  5. 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  mathnet  mathnet  crossref  mathscinet  zmath  elib  scopus

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