Geodesic
Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics
Xiuxiong Chen1 ; Song Sun2
1 Stony Brook University, Stony Brook, NY and<br/>School of Mathematics, University of Science and Technology of China, Hefei, Anhui, China
2 Department of Mathematics and Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY
Annals of mathematics, Tome 180 (2014) no. 2, pp. 407-454.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We prove that constant scalar curvature Kähler metric “adjacent” to a fixed Kähler class is unique up to isomorphism. The proof is based on the study of a fourth order evolution equation, namely, the Calabi flow, from a new geometric perspective, and on the geometry of the space of Kähler metrics.
DOI : 10.4007/annals.2014.180.2.1

Xiuxiong Chen 1 ; Song Sun 2

1 Stony Brook University, Stony Brook, NY and<br/>School of Mathematics, University of Science and Technology of China, Hefei, Anhui, China
2 Department of Mathematics and Simons Center for Geometry and Physics, Stony Brook University, Stony Brook, NY 
@article{10_4007_annals_2014_180_2_1,
     author = {Xiuxiong Chen and Song Sun},
     title = {Calabi flow, geodesic rays, and uniqueness of constant scalar curvature {K\"ahler} metrics},
     journal = {Annals of mathematics},
     pages = {407--454},
     publisher = {mathdoc},
     volume = {180},
     number = {2},
     year = {2014},
     doi = {10.4007/annals.2014.180.2.1},
     mrnumber = {3224716},
     zbl = {1307.53058},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.2.1/}
}
TY  - JOUR
AU  - Xiuxiong Chen
AU  - Song Sun
TI  - Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics
JO  - Annals of mathematics
PY  - 2014
SP  - 407
EP  - 454
VL  - 180
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.2.1/
DO  - 10.4007/annals.2014.180.2.1
LA  - en
ID  - 10_4007_annals_2014_180_2_1
ER  - 
%0 Journal Article
%A Xiuxiong Chen
%A Song Sun
%T Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics
%J Annals of mathematics
%D 2014
%P 407-454
%V 180
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.2.1/
%R 10.4007/annals.2014.180.2.1
%G en
%F 10_4007_annals_2014_180_2_1
Xiuxiong Chen; Song Sun. Calabi flow, geodesic rays, and uniqueness of constant scalar curvature Kähler metrics. Annals of mathematics, Tome 180 (2014) no. 2, pp. 407-454. doi : 10.4007/annals.2014.180.2.1. http://geodesic.mathdoc.fr/articles/10.4007/annals.2014.180.2.1/

Cité par Sources :