Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Kyeongsu Choi"'
Publikováno v:
Acta Mathematica. 228:217-301
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::073a74f8bb238ea73bfa14eb85cb25f1
https://doi.org/10.4310/acta.2022.v228.n2.a1
https://doi.org/10.4310/acta.2022.v228.n2.a1
Autor:
Kyeongsu Choi, Simon Brendle
Publikováno v:
Inventiones mathematicae. 217:35-76
A well-known question of Perelman concerns the classification of noncompact ancient solutions to the Ricci flow in dimension 3 which have positive sectional curvature and are $$\kappa $$ -noncollapsed. In this paper, we solve the analogous problem fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1f2798cd77f3add6b178591358b57370
https://doi.org/10.1007/s00222-019-00859-4
https://doi.org/10.1007/s00222-019-00859-4
Publikováno v:
Web of Science
We show that the mean curvature flow of generic closed surfaces in $\mathbb{R}^{3}$ avoids asymptotically conical and non-spherical compact singularities. We also show that the mean curvature flow of generic closed low-entropy hypersurfaces in $\math
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28c29686d3bfeda181a82a92a070db1f
Autor:
Liming Sun, Kyeongsu Choi
Publikováno v:
Nonlinear Analysis. 216:112673
We show the existence of non-homothetic ancient flows by powers of curvature embedded in R 2 whose entropy is finite. We determine the Morse indices and kernels of the linearized operator of shrinkers to the flows, and construct ancient flows by usin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::255f7864a438bb307864326c52c7baff
https://doi.org/10.1016/j.na.2021.112673
https://doi.org/10.1016/j.na.2021.112673
This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction. Four of the chapters are expository in nature while one is based more directly
Publikováno v:
American Journal of Mathematics. 143:1337-1338
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4b778b14fcc6ebb21e7ef3dc9c5b56c9
https://doi.org/10.1353/ajm.2021.0032
https://doi.org/10.1353/ajm.2021.0032
Autor:
KYEONGSU CHOI, MANTOULIDIS, CHRISTOS
Publikováno v:
American Journal of Mathematics; Apr2022, Vol. 144 Issue 2, p541-573, 33p
Publikováno v:
Acta Math. 219, no. 1 (2017), 1-16
We consider a one-parameter family of strictly convex hypersurfaces in $\mathbb{R}^{n+1}$ moving with speed $- K^\alpha \nu$, where $\nu$ denotes the outward-pointing unit normal vector and $\alpha \geq \frac{1}{n+2}$. For $\alpha > \frac{1}{n+2}$, w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3051912f9c04a8fa52586989de62883b
https://doi.org/10.4310/acta.2017.v219.n1.a1
https://doi.org/10.4310/acta.2017.v219.n1.a1
Publikováno v:
American Journal of Mathematics; Aug2021, Vol. 143 Issue 4, p1043-1077, 35p
Autor:
Kyeongsu Choi, Simon Brendle
In this paper, we consider noncompact ancient solutions to the mean curvature flow in $\mathbb{R}^{n+1}$ ($n \geq 3$) which are strictly convex, uniformly two-convex, and noncollapsed. We prove that such an ancient solution is a rotationally symmetri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ea4bf63b1db7fdbf79965916ff2612c4
http://arxiv.org/abs/1804.00018
http://arxiv.org/abs/1804.00018