Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Yuri Nikolayevsky"'
Autor:
Grace Misereh, Yuri Nikolayevsky
Publikováno v:
Discrete Mathematics & Theoretical Computer Science, Vol Vol. 20 no. 1, Iss Graph Theory (2018)
A thrackle is a drawing of a graph in which each pair of edges meets precisely once. Conway's Thrackle Conjecture asserts that a thrackle drawing of a graph on the plane cannot have more edges than vertices. We prove the Conjecture for thrackle drawi
Externí odkaz:
https://doaj.org/article/d4b671d7dc3245eea193ad77d479cb6a
Publikováno v:
Revista Matemática Iberoamericana. 37:1321-1332
We classify totally geodesic submanifolds of Damek–Ricci spaces and show that they are either subgroups (“smaller” Damek–Ricci spaces) or isometric to rank-one symmetric spaces of negative curvature.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4dbb5c1add57493a2e215ace75d82391
https://doi.org/10.4171/rmi/1228
https://doi.org/10.4171/rmi/1228
Publikováno v:
Proceedings of the American Mathematical Society. 148:1945-1952
We show that the central representation is nontrivial for all one-dimensional central extensions of nilpotent Lie algebras possessing a codimension one abelian ideal.
7 pages
7 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b0ba2f97eb86bdc93738e05cd6366930
https://doi.org/10.1090/proc/14890
https://doi.org/10.1090/proc/14890
Publikováno v:
Results in Mathematics. 77
We prove that a 2-stein submanifold in a space form whose normal connection is flat or whose codimension is at most 2, has constant curvature.
Comment: 5 pages
Comment: 5 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3786e0f9564abd9bf62037f2d6e27e2d
https://doi.org/10.1007/s00025-022-01620-9
https://doi.org/10.1007/s00025-022-01620-9
Autor:
Yuri Nikolayevsky, Joseph A. Wolf
The geodesic orbit property is useful and interesting in Riemannian geometry. It implies homogeneity and has important classes of Riemannian manifolds as special cases. Those classes include weakly symmetric Riemannian manifolds and naturally reducti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7ad061eb05059470830ba466ca3741c0
Autor:
Yuri Nikolayevsky, Patrick Adams
Publikováno v:
Discrete Mathematics. 342:433-440
A pair of sequences of natural numbers is called planar if there exists a simple, bipartite, planar graph for which the given sequences are the degree sequences of its parts. For a pair to be planar, the sums of the sequences have to be equal and Eul
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::dd9c2db0efef68a482092efe1f877a80
https://doi.org/10.1016/j.disc.2018.10.013
https://doi.org/10.1016/j.disc.2018.10.013
Autor:
Yuri Nikolayevsky, JeongHyeong Park
We show that if $M$ is an Einstein hypersurface in an irreducible Riemannian symmetric space $\overline{M}$ of rank greater than $1$ (the classification in the rank-one case was previously known), then either $\overline{M}$ is of noncompact type and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d026f5a2f6c86454d28348b60fc9e22a
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
Publikováno v:
Journal of Geometry and Physics. 167:104278
Einstein hypersurfaces are ``very rare" in rank-one symmetric spaces. Damek-Ricci spaces may be viewed as the closest and the most natural generalisations of noncompact rank-one symmetric spaces. We prove that no Damek-Ricci space admits an Einstein
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3483e54848a5a26587ce6063f96344e
https://doi.org/10.1016/j.geomphys.2021.104278
https://doi.org/10.1016/j.geomphys.2021.104278
Autor:
JeongHyeong Park, Yuri Nikolayevsky
Publikováno v:
Differential Geometry and its Applications. 49:301-311
A contact metric manifold is said to be H-contact, if its characteristic vector field is harmonic. We prove that the unit tangent bundle of a Riemannian manifold M equipped with the standard contact metric structure is H-contact if and only if M is 2
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3652dd73ca9b3e9c5f9566d3d66d0491
https://doi.org/10.1016/j.difgeo.2016.09.002
https://doi.org/10.1016/j.difgeo.2016.09.002