Zobrazeno 1 - 10
of 134
pro vyhledávání: '"Akhmet’ev, P."'
Autor:
Akhmet'ev, Petr, Dvornikov, Maxim
Publikováno v:
Journal of Geometry and Physics, 198 (2024) 105102
We construct a new Yang-Mills 3D-solution on the space of negative scalar curvarure. We discuss a problem of non-abelian gauge symmetry is broken with the assumption that a scalar curvature of the domain is a negative small parameter. In this case we
Externí odkaz:
http://arxiv.org/abs/2312.06301
Autor:
Akhmet'ev, Petr M.
Desuspension Theorem for the steam $\Pi_{2^l-2}$ in stable homotopy groups of spheres is formulated and is proved. The proof is a minor revision of a theorem in the preprint \cite{A1} by the author (2010).
Comment: arXiv admin note: substantial
Comment: arXiv admin note: substantial
Externí odkaz:
http://arxiv.org/abs/2304.03485
Autor:
Akhmet'ev, Petr M.
We will give an elementary self-contained description of the Mahowald element in the stable homotopy group of spheres $\Pi_{2^l}$, $l \ge 3$. Using this construction, we prove that a generalized Kervaire Problem, formulated by the author in \cite{A}
Externí odkaz:
http://arxiv.org/abs/2301.08889
Autor:
Akhmet'ev, Petr M.
The Kervaire Invariant 1 Problem until recently was an open problem in algebraic topology. Hill-Hopkins-Ravenel theorem clams a negative solution of the problem for all dimensions $n=2^l-2$, $l \ge 8$ \cite{H-H-R}. In dimension $n=126=2^7-2$, the pro
Externí odkaz:
http://arxiv.org/abs/2110.04542
Autor:
Akhmet'ev, P. M., Vyugin, I. V.
The paper contains an example to describe magnetic fields in a conductive medium. The authors assume that new applications for turbulent magnetic fields in the case the magnetic field is not left- and right- polarized are possible.
Externí odkaz:
http://arxiv.org/abs/1906.12131
Building on previous results on the quadratic helicity in magnetohydrodynamics (MHD) we investigate particular minimum helicity states. Those are eigenfunctions of the curl operator and are shown to constitute solutions of the quasi-stationary incomp
Externí odkaz:
http://arxiv.org/abs/1806.07428
We discuss a generalisation of the Herbert formula for double points, when the normal bundle of an immersion admits an additional structure, and an application.
Externí odkaz:
http://arxiv.org/abs/1712.01109
Autor:
Akhmet'ev, P. M., Frolkina, O. D.
In this paper, we introduce geometric technique of working with skew-framed manifolds. It allows us to study stable homotopy groups of some Thom spaces by geometric means. We schematically describe how our results (which are also of independent inter
Externí odkaz:
http://arxiv.org/abs/1712.00959
Publikováno v:
Physics of Plasmas 24, 102128 (2017)
For the quadratic helicity $\chi^{(2)}$ we present a generalization of the Arnol'd inequality which relates the magnetic energy to the quadratic helicity, which poses a lower bound. We then introduce the quadratic helicity density using the classical
Externí odkaz:
http://arxiv.org/abs/1710.08833
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