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Article
A Kähler potential on the unit ball with constant differential norm
Let \({\mathbb {B}}^n\) B ...
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Article
Ampleness of Normal Bundles of Base Cycles in Flag Domains
Flag domains are open orbits of noncompact real forms of complex semisimple Lie groups acting on flag manifolds. To each flag domain one can associate a compact complex manifold called the base cycle. The ampl...
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Article
Weighted \(L^2\) Holomorphic Functions on Ball-Fiber Bundles Over Compact Kähler Manifolds
Let \({\widetilde{M}}\) M ~ ...
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Article
A Characterization of the Unit Ball by a Kähler–Einstein Potential
We will show that a universal covering of a compact Kähler manifold with ample canonical bundle is the unit ball if it admits a global potential function of the Kähler–Einstein metric whose gradient length is ...
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Article
Totally geodesic discs in bounded symmetric domains
In this paper, we characterize \(C^2\) C 2 ...
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Article
Generalizations of linear fractional maps for classical symmetric domains and related fixed point theorems for generalized balls
We extended the study of the linear fractional self maps (e.g., by Cowen–MacCluer and Bisi–Bracci on the unit balls) to a much more general class of domains, called generalized type I domains, which includes in p...
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Article
Normal bundles of cycles in flag domains
A real semisimple Lie group \(G_0\) G ...
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Chapter and Conference Paper
Proper Holomorphic Maps Between Bounded Symmetric Domains
In this article, we survey the background and recent development on proper holomorphic maps between bounded symmetric domains.