Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Shan Tai Chan"'
Autor:
Shan Tai Chan
Publikováno v:
International Mathematics Research Notices. 2022:8209-8250
We study proper holomorphic maps between type-$\textrm {I}$ irreducible bounded symmetric domains. In particular, we obtain rigidity results for such maps under certain assumptions. More precisely, let $f:D^{\textrm {I}}_{p,q}\to D^{\textrm {I}}_{p^{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8786798ed05143b597ec289bd622ad53
https://doi.org/10.1093/imrn/rnaa373
https://doi.org/10.1093/imrn/rnaa373
Autor:
Shan Tai Chan, Yuan Yuan
Publikováno v:
The American Mathematical Monthly. 127:530-536
We show how the determinant of a matrix can be calculated using complex analysis of one variable. We also describe the connection between unitary matrices and the problem of holomorphic isometries ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::16fa53e63285dcef9b2a9c0eae248c77
https://doi.org/10.1080/00029890.2020.1736471
https://doi.org/10.1080/00029890.2020.1736471
Autor:
Shan Tai Chan
Publikováno v:
Proceedings of the American Mathematical Society. 148:173-184
We study proper holomorphic maps between bounded symmetric domains $D$ and $\Omega$. In particular, when $D$ and $\Omega$ are of the same rank $\ge 2$ such that all irreducible factors of $D$ are of rank $\ge 2$, we prove that any proper holomorphic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0278ad087d6985830f78fb6324c672fe
https://doi.org/10.1090/proc/14657
https://doi.org/10.1090/proc/14657
Autor:
Shan Tai Chan, Yuan Yuan
Publikováno v:
Annales de l'Institut Fourier. 69:2205-2240
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0e200122175c1a1e325973ea18f89f1e
https://doi.org/10.5802/aif.3293
https://doi.org/10.5802/aif.3293
Autor:
Ngaiming Mok, Shan Tai Chan
Publikováno v:
Mathematische Zeitschrift. 286:679-700
We study general properties of images of holomorphic isometric embeddings of complex unit balls \({\mathbb {B}}^m\) into irreducible bounded symmetric domains \({\varOmega }\) of rank at least 2. In particular, we show that such holomorphic isometrie
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::498402178afbe0f0ef1424a652a8c7da
https://doi.org/10.1007/s00209-016-1778-7
https://doi.org/10.1007/s00209-016-1778-7
Autor:
Shan Tai Chan
Publikováno v:
Proceedings of the American Mathematical Society. 144:347-358
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ef49d9d7248a2211b2f937ab72a5a5ee
https://doi.org/10.1090/proc/12674
https://doi.org/10.1090/proc/12674
Autor:
Shan Tai Chan
In this article, we study holomorphic isometric embeddings between bounded symmetric domains. In particular, we show the total geodesy of any holomorphic isometric embedding between reducible bounded symmetric domains with the same rank.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::22fb02d5fdcd50a893ef07c488f32c5f
Autor:
Shan Tai Chan
Publikováno v:
Michigan Math. J. 66, iss. 4 (2017), 745-767
We study the classification problem of holomorphic isometric embeddings of the unit disk into polydisks as in [Ng10, Ch16a]. We give a complete classification of all such holomorphic isometries when the target is the $4$ -disk $\Delta^{4}$ . Moreover
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::482eb7728ca97358dbd278d9aa2c3ce2
https://doi.org/10.1307/mmj/1505527453
https://doi.org/10.1307/mmj/1505527453
Autor:
Shan Tai Chan
We study general properties of holomorphic isometric embeddings of complex unit balls $\mathbb B^n$ into bounded symmetric domains of rank $\ge 2$. In the first part, we study holomorphic isometries from $(\mathbb B^n,kg_{\mathbb B^n})$ to $(\Omega,g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed2a96385979884adb9ca65a3fda7cda
Publikováno v:
International Journal of Mathematics. 28:1740010
We first give an exposition on holomorphic isometries from the Poincaré disk to polydisks and from the Poincaré disk to the product of the Poincaré disk with a complex unit ball. As an application, we provide an example of proper holomorphic map f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1ec56183c5766bdae01c62ce468f1d04
https://doi.org/10.1142/s0129167x17400109
https://doi.org/10.1142/s0129167x17400109