Zobrazeno 1 - 10
of 53
pro vyhledávání: '"Yu. G. Nikonorov"'
Autor:
V. N. Berestovskiĭ, Yu. G. Nikonorov
Publikováno v:
Siberian Advances in Mathematics. 31:155-176
The paper is devoted to the study of the metric properties of regular and semiregular polyhedra in Euclidean spaces. In the first part, we prove that every regular polytope of dimension greater or equal than 4, and different from 120-cell in $$\mathb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::85cc68408f5467db605e732763a53455
https://doi.org/10.1134/s1055134421030019
https://doi.org/10.1134/s1055134421030019
Autor:
Yu. G. Nikonorov, V. N. Berestovskii
Publikováno v:
Matematicheskie trudy. 24:3-34
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::65b1974c3dfbe23f43efc8163071f86a
https://doi.org/10.33048/mattrudy.2021.24.101
https://doi.org/10.33048/mattrudy.2021.24.101
Autor:
Yu. G. Nikonorov, Ming Xu
Publikováno v:
Asian Journal of Mathematics. 25:229-242
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7c0b568b2923b290fed3a704ccd7600
https://doi.org/10.4310/ajm.2021.v25.n2.a4
https://doi.org/10.4310/ajm.2021.v25.n2.a4
Autor:
Yu. G. Nikonorov
Publikováno v:
Geometriae Dedicata. 214:849-851
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fe2b245452ef4771a5b5f76ce5df9e5c
https://doi.org/10.1007/s10711-021-00604-3
https://doi.org/10.1007/s10711-021-00604-3
Autor:
Yu. G. Nikonorov
Publikováno v:
Trends in Mathematics ISBN: 9783030497620
This paper is a survey of recent results related to spectral properties of Killing vector fields of constant length and of some their natural generalizations on Riemannian manifolds. One of the main result is the following: If \(\mathfrak {g}\) is a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::34ab848dd19e1712cf3c6f54797a0f3e
https://doi.org/10.1007/978-3-030-49763-7_12
https://doi.org/10.1007/978-3-030-49763-7_12
Autor:
Yu.V. Nikonorova, Yu. G. Nikonorov
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2aae17bdc14f1f0f3f755fcd225e0a62
Autor:
Yuri Nikolayevsky, Yu. G. Nikonorov
Publikováno v:
manuscripta mathematica. 158:353-370
We study invariant metrics on Ledger-Obata spaces $F^m/\mathrm{diag}(F)$. We give the classification and an explicit construction of all naturally reductive metrics, and also show that in the case $m=3$, any invariant metric is naturally reductive. W
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::11e1557265ddb046e1c8736fb5f22f8e
https://doi.org/10.1007/s00229-018-1029-9
https://doi.org/10.1007/s00229-018-1029-9
Autor:
Yu. G. Nikonorov
Publikováno v:
Geometriae Dedicata. 181:193-212
In this paper, we present the classification of generalized Wallach spaces and discuss some related problems.
18 pages, 1 figure
18 pages, 1 figure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5c84861eaf51fed710ed549edd25a36
https://doi.org/10.1007/s10711-015-0119-z
https://doi.org/10.1007/s10711-015-0119-z
Autor:
Yu. G. Nikonorov
Publikováno v:
Siberian Advances in Mathematics. 25:124-137
We study coplanarity points on space differentiable curves and their asymptotic properties. The results make it possible to formulate some general conjectures on the asymptotics of coplanarity points.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7170d28d06104d305605243773e0108f
https://doi.org/10.3103/s1055134415020030
https://doi.org/10.3103/s1055134415020030
Autor:
Yu. G. Nikonorov
Publikováno v:
Siberian Advances in Mathematics. 25:56-75
We establish inequalities describing the asymptotic behavior of mean value points in the sense of the Schwarz theoremfor general divided differences constructed for a function with a certain growth order at a given point. These inequalities generaliz
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fd1cf11b8bb6f30e5eeef6ed9d32b025
https://doi.org/10.3103/s105513441501006x
https://doi.org/10.3103/s105513441501006x