Geodesic
A differential-geometric analysis of the Bergman representative map
Sungmin Yoo1
1 Department of Mathematics Pohang University of Science and Technology 37673 Pohang, Republic of Korea
Annales Polonici Mathematici, Tome 120 (2017) no. 2, pp. 163-181 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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

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