Zobrazeno 1 - 10
of 46
pro vyhledávání: '"Ruifeng Qiu"'
Autor:
Ruifeng Qiu, Yanqing Zou
Publikováno v:
Acta Mathematica Scientia. 42:2437-2449
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f035623741e71fa970173b0dc8c80890
https://doi.org/10.1007/s10473-022-0612-z
https://doi.org/10.1007/s10473-022-0612-z
Autor:
Ruifeng Qiu, Yanqing Zou
Publikováno v:
Groups, Geometry, and Dynamics. 14:591-605
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e796a097292038ae4d192621246b5f15
https://doi.org/10.4171/ggd/556
https://doi.org/10.4171/ggd/556
Autor:
Ruifeng Qiu, Yanqing Zou
Publikováno v:
Communications in Analysis and Geometry. 27:1355-1379
From the view of Heegaard splitting, it is known that if a closed orientable 3-manifold admits a distance at least three Heegaard splitting, then it is hyperbolic. However, for a closed orientable 3-manifold admitting only distance at most two Heegaa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::399c4e847871af0bb3ca09c00cc15434
https://doi.org/10.4310/cag.2019.v27.n6.a6
https://doi.org/10.4310/cag.2019.v27.n6.a6
Publikováno v:
Science China Mathematics. 61:1099-1108
It is Thurston's result that for a hyperbolic knot $K$ in $S^{3}$, almost all Dehn fillings on its complement result in hyperbolic 3-manifolds except some exceptional cases. So almost all produced 3-manifolds have the same geometry. It is known that
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::509056b03856a5e41603049227d5cf47
https://doi.org/10.1007/s11425-017-9093-5
https://doi.org/10.1007/s11425-017-9093-5
Autor:
Ruifeng Qiu, Kun Du
Publikováno v:
Topology and its Applications. 204:135-148
In this paper, we show the uniqueness of unstabilized Heegaard splittings of amalgamated 3-manifolds.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::86fe73f6107c0737fefcf472e45a5fb1
https://doi.org/10.1016/j.topol.2016.03.006
https://doi.org/10.1016/j.topol.2016.03.006
Publikováno v:
Geometriae Dedicata. 181:213-222
We prove that for any two integers $$d \ge 2$$ and $$g \ge 2$$ , there are infinitely many non-homeomorphic hyperbolic three dimensional manifolds so that each one has a distance d genus g Heegaard splitting.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d6a611abea83908b19be7ec05374f47f
https://doi.org/10.1007/s10711-015-0120-6
https://doi.org/10.1007/s10711-015-0120-6
Publikováno v:
Topology and its Applications. 193:259-269
For each point V , a subset of R 3 , we define a distance on the one skeleton of curve complex for each point and prove that (1) for each point in V with all positive entries, the one skeleton of curve complex under this distance is a metric space an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ecad4ac5d7015275ad557fcb06456d4d
https://doi.org/10.1016/j.topol.2015.07.011
https://doi.org/10.1016/j.topol.2015.07.011
Autor:
Ruifeng Qiu, Tao Li
Publikováno v:
Transactions of the American Mathematical Society. 368:2793-2807
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5fb0a5ab90007d61d832aa35529b030c
https://doi.org/10.1090/tran/6473
https://doi.org/10.1090/tran/6473
Publikováno v:
Pacific Journal of Mathematics. 275:231-255
In this paper, we prove that (1) For any integers $n\geq 1$ and $g\geq 2$, there is a closed 3-manifold $M_{g}^{n}$ which admits a distance $n$ Heegaard splitting of genus $g$ except that the pair of $(g, n)$ is $(2, 1)$. Furthermore, $M_{g}^{n}$ can
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::43bcb5a4d1184d627bc41f3af9a1b821
https://doi.org/10.2140/pjm.2015.275.231
https://doi.org/10.2140/pjm.2015.275.231
Publikováno v:
Chinese Annals of Mathematics, Series B. 36:51-56
Let M be a connected orientable compact irreducible 3-manifold. Suppose that ∂M consists of two homeomorphic surfaces F1 and F2, and both F1 and F2 are compressible in M. Suppose furthermore that g(M,F1) = g(M) + g(F1), where g(M,F1) is the Heegaar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db1c670572626d386815eb3e50ccd236
https://doi.org/10.1007/s11401-014-0877-1
https://doi.org/10.1007/s11401-014-0877-1