Zobrazeno 1 - 10
of 84
pro vyhledávání: '"Nikonorov, Yu. G."'
Autor:
Berestovskii, V. N., Nikonorov, Yu. G.
This paper is devoted to the study of the $m$-point homogeneity property for the vertex sets of polytopes in Euclidean spaces. In particular, we present the classifications of $2$-point and $3$-point homogeneous polyhedra in $\mathbb{R}^3$.
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Externí odkaz:
http://arxiv.org/abs/2408.09911
Autor:
Nikonorov, Yu. G.
The paper is devoted to the study of geodesic orbit Riemannian metrics on nilpotent Lie groups. The main result is the construction of continuous families of pairwise non-isomorphic connected and simply connected nilpotent Lie groups, every of which
Externí odkaz:
http://arxiv.org/abs/2402.17548
Autor:
Berestovskii, V. N., Nikonorov, Yu. G.
The paper is devoted to perfect and almost perfect homogeneous polytopes in Euclidean spaces. We classified perfect and almost perfect polytopes among all regular polytopes and all semiregular polytopes excepting Archimedean solids and two four-dimen
Externí odkaz:
http://arxiv.org/abs/2304.12211
Autor:
Nikonorov, Yu. G., Nikonorova, O. Yu.
The paper is devoted to some extremal problems, related to convex polygons in the Euclidean plane and their perimeters. We present a number of results that have simple formulations, but rather intricate proofs. Related and still unsolved problems are
Externí odkaz:
http://arxiv.org/abs/2209.05940
Autor:
Nikonorov, Yu. G.
Publikováno v:
Tr. Rubtsovsk. Ind. Inst., 7, 211-217 (2000), Zbl. 0956.53033
This is an English translation of the following paper, published several years ago: Nikonorov Yu.G. On a characterization of critical points of the scalar curvature functional (Russian), Tr. Rubtsovsk. Ind. Inst., 7, 211-217 (2000), Zbl. 0956.53033.
Externí odkaz:
http://arxiv.org/abs/2112.00993
Autor:
Nikonorov, Yu. G., Nikonorova, Yu. V.
In this note, we prove the following conjecture by A. Akopyan and V. Vysotsky: If the convex hull of a planar curve $\gamma$ covers a planar convex figure $K$, then $\operatorname{length}(\gamma) \geq \operatorname{per} (K) - \operatorname{diam} (K)$
Externí odkaz:
http://arxiv.org/abs/2007.00612
Autor:
Xu, Ming, Nikonorov, Yu. G.
In this paper, we consider a connected Riemannian manifold $M$ where a connected Lie group $G$ acts effectively and isometrically. Assume $X\in\mathfrak{g}=\mathrm{Lie}(G)$ defines a bounded Killing vector field, we find some crucial algebraic proper
Externí odkaz:
http://arxiv.org/abs/1904.08710
Autor:
Nikonorov, Yu. G.
Publikováno v:
Journal of Geometry and Physics, 2019, Volume 145, 103485
This paper is devoted to the study of properties of Killing vector fields of constant length on Riemannian manifolds. If $\mathfrak{g}$ is a Lie algebra of Killing vector fields on a given Riemannian manifold $(M,g)$, and $X\in \mathfrak{g}$ has cons
Externí odkaz:
http://arxiv.org/abs/1902.02500
Autor:
Nikonorov, Yu. G.
This is an English translation of the following paper, published several years ago: Nikonorov Yu.G. On the geodesic diameter of surfaces with involutive isometry (Russian), Tr. Rubtsovsk. Ind. Inst., 2001, V. 9, 62-65, Zbl. 1015.53041. All inserted f
Externí odkaz:
http://arxiv.org/abs/1811.01173
Autor:
Nikonorov, Yu. G., Nikonorova, Yu. V.
Publikováno v:
Tr. Rubtsovsk. Ind. Inst., 2000, V. 7, 229-232, Zbl. 0958.51021
This is an English translation of the following paper, published several years ago: Nikonorov Yu.G., Nikonorova Yu.V. Generalized Popoviciu's problem (Russian), Tr. Rubtsovsk. Ind. Inst., 7, 229-232 (2000), Zbl. 0958.51021. All inserted footnotes pro
Externí odkaz:
http://arxiv.org/abs/1806.03345