Zobrazeno 1 - 10
of 22
pro vyhledávání: '"Chanyoung Sung"'
Autor:
Chanyoung Sung
Publikováno v:
Annals of Global Analysis and Geometry. 60:767-805
It is shown that on every closed oriented Riemannian 4-manifold (M, g) with positive scalar curvature, $$\begin{aligned} \int _M|W^+_g|^2d\mu _{g}\ge 2\pi ^2(2\chi (M)+3\tau (M))-\frac{8\pi ^2}{|\pi _1(M)|}, \end{aligned}$$ where $$W^+_g$$ , $$\chi (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12a567ac15e855a6079d181de36cc4d7
https://doi.org/10.1007/s10455-021-09798-x
https://doi.org/10.1007/s10455-021-09798-x
Autor:
Chanyoung Sung
Publikováno v:
Kodai Math. J. 43, no. 2 (2020), 268-277
We show that the normalized Ricci flow $g(t)$ on a smooth closed manifold $M$ existing for all $t \geq 0$ with scalar curvature converging to constant in $L^2$ norm should satisfy $$\liminf_{t\rightarrow \infty} \int_M|\stackrel{\circ}{r}|_{g(t)}^2d\
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b84f2063e648a58bbf2e0c42138a63b
https://projecteuclid.org/euclid.kmj/1594313554
https://projecteuclid.org/euclid.kmj/1594313554
Autor:
Chanyoung Sung
Publikováno v:
Differential Geometry and its Applications. 59:112-121
Let M be a smooth closed manifold of dimension 4 k + k ′ (possibly with orbifold singularities) in which a smooth closed manifold F of dimension k ′ is embedded with trivial normal bundle, and H P k × ˜ F be a smooth fiber bundle over H P k wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1e3c31c7e25386e6c43ea50e919537a
https://doi.org/10.1016/j.difgeo.2018.04.004
https://doi.org/10.1016/j.difgeo.2018.04.004
Autor:
Jongsu Kim, Chanyoung Sung
Publikováno v:
The Journal of Geometric Analysis. 26:2711-2728
For a closed smooth manifold M admitting a symplectic structure, we define a smooth topological invariant Z(M) using almost-Kahler metrics, i.e., Riemannian metrics compatible with symplectic structures. We also introduce $$Z(M, [[\omega ]])$$ depend
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::66666e771d1afc86a6f5f419f5051fba
https://doi.org/10.1007/s12220-015-9645-z
https://doi.org/10.1007/s12220-015-9645-z
Autor:
Kyusik Hong, Chanyoung Sung
Publikováno v:
Journal of the Korean Mathematical Society. 52:1037-1049
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::af810224ef6c8296f260477c0a180fba
https://doi.org/10.4134/jkms.2015.52.5.1037
https://doi.org/10.4134/jkms.2015.52.5.1037
Autor:
Chanyoung Sung
Publikováno v:
Geometriae Dedicata. 178:75-93
On a smooth closed oriented 4-manifold \(M\) with a smooth action of a finite group \(G\) on a Spin\(^c\) structure, \(G\)-monopole invariant is defined by “counting” \(G\)-invariant solutions of Seiberg–Witten equations for any \(G\)-invariant
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0cc68852d303e6f02e665dafee4a1334
https://doi.org/10.1007/s10711-015-0044-1
https://doi.org/10.1007/s10711-015-0044-1
Autor:
Chanyoung Sung
Publikováno v:
Tokyo J. of Math. 40, no. 1 (2017), 53-63
On some connected sums of 4-manifolds with natural actions of finite groups, we use equivariant Bauer-Furuta invariant to deduce the existence of solutions of Seiberg-Witten equations invariant under the group actions. For example, for any integer $k
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa540c75e519b73163b75e55006643b3
https://doi.org/10.3836/tjm/1502179215
https://doi.org/10.3836/tjm/1502179215
Autor:
Chanyoung Sung, Kyusik Hong
Publikováno v:
Differential Geometry and its Applications. 31:533-539
We generalize the Omori–Yau almost maximum principle of the Laplace–Beltrami operator on a complete Riemannian manifold M to a second-order linear semi-elliptic operator L with bounded coefficients and no zeroth order term. Using this result, we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e67a3408c0435f72d40f0d8f36a232bd
https://doi.org/10.1016/j.difgeo.2013.05.004
https://doi.org/10.1016/j.difgeo.2013.05.004
Autor:
Chanyoung Sung
Publikováno v:
Geometriae Dedicata. 169:129-144
On a smooth closed oriented 4-manifold $$M$$ with a smooth action by a finite group $$G$$ , we show that a $$G$$ -monopole class gives the $$L^2$$ -estimate of the Ricci curvature of a $$G$$ -invariant Riemannian metric, and derive a topological obst
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fb5ce55ab508ba29a60ac88473cff4a9
https://doi.org/10.1007/s10711-013-9846-1
https://doi.org/10.1007/s10711-013-9846-1
Autor:
Chanyoung Sung
Publikováno v:
Journal of Geometry and Physics. 61:765-771
By using the gluing formulae of the Seiberg–Witten invariant, we show the nonexistence of Einstein metrics on manifolds obtained from a 4-manifold with a nontrivial Seiberg–Witten invariant by performing sufficiently many connected sums or approp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cfed20109d2db9608d130c0fbbbb240
https://doi.org/10.1016/j.geomphys.2010.12.002
https://doi.org/10.1016/j.geomphys.2010.12.002