Zobrazeno 1 - 10 of 126 pro vyhledávání: '"JeongHyeong Park"'
3
Totally geodesic submanifolds of Damek–Ricci spaces
Autor: JeongHyeong Park, Sinhwi Kim, Yuri Nikolayevsky
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
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4
On 2-Stein Submanifolds in Space Forms
Autor: Yunhee Euh, Jihun Kim, Yuri Nikolayevsky, JeongHyeong Park
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
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3786e0f9564abd9bf62037f2d6e27e2d
https://doi.org/10.1007/s00025-022-01620-9
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5
Two theorems on the intersections of horospheres in asymptotically harmonic spaces
Autor: Sinhwi Kim, JeongHyeong Park
We use Busemann functions to construct volume preserving mappings in an asymptotically harmonic manifold. If the asymptotically harmonic manifold satisfies the visibility condition, we construct mappings which preserve distances in some directions. W
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b045f3da6c54808f3627c4ff832d31b2
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8
Einstein hypersurfaces in irreducible symmetric spaces
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
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