HARMONIC MAP FLOW FOR ALMOST-HOLOMORPHIC MAPS

被引：0

作者：

Song, Chong ^{[1
]}

Waldron, Alex ^{[2
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2024年 / 128卷 / 03期

关键词：

COMPACT KAHLER-MANIFOLDS; HEAT-FLOW; BLOW-UP; SURFACES; ASYMPTOTICS; SINGULARITY; REGULARITY; EXISTENCE; MAPPINGS; DYNAMICS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let Sigma be a compact oriented surface and N a compact Kahler manifold with nonnegative holomorphic bisectional curvature. For a solution of harmonic map flow starting from an almost-holomorphic map Sigma -> N (in the energy sense), the limit at each singular time extends continuously over the bubble points and no necks appear.

引用

页码：1225 / 1268

页数：44

共 50 条

[41] HAUSDORFF DIMENSION OF HARMONIC MEASURE ON THE BOUNDARY OF AN ATTRACTIVE BASIN FOR A HOLOMORPHIC MAP
PRZYTYCKI, F
INVENTIONES MATHEMATICAE, 1985, 80 (01) : 161 - 179
[42] THE HARMONIC HEAT FLOW OF ALMOST COMPLEX STRUCTURES
He, Weiyong
Li, Bo
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (09) : 6179 - 6199
[43] On Uniqueness of Heat Flow of Harmonic Maps
Huang, Tao
Wang, Changyou
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2016, 65 (05) : 1525 - 1546
[44] On the Heat Flow for Harmonic Maps with Potential
Ali Fardoun
Andrea Ratto
Rachid Regbaoui
Annals of Global Analysis and Geometry, 2000, 18 : 555 - 567
[45] On the heat flow for harmonic maps with potential
Fardoun, A
Ratto, A
Regbaoui, R
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1998, 327 (06): : 569 - 574
[46] HARMONIC MAPS DEFINED BY THE GEODESIC FLOW
Abbassi, M. T. K.
Calvaruso, G.
Perrone, D.
HOUSTON JOURNAL OF MATHEMATICS, 2010, 36 (01): : 69 - 90
[47] On the heat flow for harmonic maps with potential
Fardoun, A
Ratto, A
Regbaoui, R
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2000, 18 (06) : 555 - 567
[48] Schrodinger flow near harmonic maps
Gustafson, S.
Kang, K.
Tsai, T. -P.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2007, 60 (04) : 463 - 499
[49] Normalized Harmonic Map Heat Flow
Struwe, Michael
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2020, 73 (03) : 664 - 686
[50] Selfsimilar expanders of the harmonic map flow
Germain, Pierre
Rupflin, Melanie
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2011, 28 (05): : 743 - 773

← 1 2 3 4 5 →