Geodesic
A differential-geometric analysis of the Bergman representative map
Sungmin Yoo1
1Department of Mathematics Pohang University of Science and Technology 37673 Pohang, Republic of Korea
Annales Polonici Mathematici, Tome 120 (2017) no. 2, pp. 163-181

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the exponential map of the Bochner connection on the restricted holomorphic tangent bundle of a complex manifold admitting the positive-definite Bergman metric coincides with the inverse of Bergman’s representative map. We also present a generalization of Lu Qi Keng’s theorem, as an application.
DOI : 10.4064/ap170621-21-11
Keywords: exponential map bochner connection restricted holomorphic tangent bundle complex manifold admitting positive definite bergman metric coincides inverse bergman representative map present generalization keng theorem application

Sungmin Yoo  1

1 Department of Mathematics Pohang University of Science and Technology 37673 Pohang, Republic of Korea 
Sungmin Yoo. A differential-geometric analysis of the Bergman representative map. Annales Polonici Mathematici, Tome 120 (2017) no. 2, pp. 163-181. doi: 10.4064/ap170621-21-11
@article{10_4064_ap170621_21_11,
     author = {Sungmin Yoo},
     title = {A differential-geometric analysis of the {Bergman} representative map},
     journal = {Annales Polonici Mathematici},
     pages = {163--181},
     year = {2017},
     volume = {120},
     number = {2},
     doi = {10.4064/ap170621-21-11},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap170621-21-11/}
}
TY  - JOUR
AU  - Sungmin Yoo
TI  - A differential-geometric analysis of the Bergman representative map
JO  - Annales Polonici Mathematici
PY  - 2017
SP  - 163
EP  - 181
VL  - 120
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap170621-21-11/
DO  - 10.4064/ap170621-21-11
LA  - en
ID  - 10_4064_ap170621_21_11
ER  - 
%0 Journal Article
%A Sungmin Yoo
%T A differential-geometric analysis of the Bergman representative map
%J Annales Polonici Mathematici
%D 2017
%P 163-181
%V 120
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/ap170621-21-11/
%R 10.4064/ap170621-21-11
%G en
%F 10_4064_ap170621_21_11

Cité par Sources :