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- Publisher Website: 10.1007/s10473-022-0420-5
- WOS: WOS:000814234200020
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Article: A Uniqueness Theorem for Holomorphic Mappings in the Disk Sharing Totally Geodesic Hypersurfaces
| Title | A Uniqueness Theorem for Holomorphic Mappings in the Disk Sharing Totally Geodesic Hypersurfaces |
|---|---|
| Authors | |
| Issue Date | 2022 |
| Publisher | Springer Nature Singapore. The Journal's web site is located at http://www.elsevier.com/wps/find/journaldescription.cws_home/708310/description#description |
| Citation | Acta Mathematica Scientia, 2022, v. 42, p. 1631–1644 How to Cite? |
| Abstract | In this paper, we prove a Second Main Theorem for holomorphic mappings in a disk whose image intersects some families of nonlinear hypersurfaces (totally geodesic hypersurfaces with respect to a meromorphic connection) in the complex projective space ℙk. This is a generalization of Cartan’s Second Main Theorem. As a consequence, we establish a uniqueness theorem for holomorphic mappings which intersect O(k3) many totally geodesic hypersurfaces. |
| Persistent Identifier | http://hdl.handle.net/10722/322264 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Ng, TW | - |
| dc.contributor.author | HUANG, J | - |
| dc.date.accessioned | 2022-11-14T08:18:25Z | - |
| dc.date.available | 2022-11-14T08:18:25Z | - |
| dc.date.issued | 2022 | - |
| dc.identifier.citation | Acta Mathematica Scientia, 2022, v. 42, p. 1631–1644 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/322264 | - |
| dc.description.abstract | In this paper, we prove a Second Main Theorem for holomorphic mappings in a disk whose image intersects some families of nonlinear hypersurfaces (totally geodesic hypersurfaces with respect to a meromorphic connection) in the complex projective space ℙk. This is a generalization of Cartan’s Second Main Theorem. As a consequence, we establish a uniqueness theorem for holomorphic mappings which intersect O(k3) many totally geodesic hypersurfaces. | - |
| dc.language | eng | - |
| dc.publisher | Springer Nature Singapore. The Journal's web site is located at http://www.elsevier.com/wps/find/journaldescription.cws_home/708310/description#description | - |
| dc.relation.ispartof | Acta Mathematica Scientia | - |
| dc.title | A Uniqueness Theorem for Holomorphic Mappings in the Disk Sharing Totally Geodesic Hypersurfaces | - |
| dc.type | Article | - |
| dc.identifier.email | Ng, TW: ngtw@hku.hk | - |
| dc.identifier.authority | Ng, TW=rp00768 | - |
| dc.identifier.doi | 10.1007/s10473-022-0420-5 | - |
| dc.identifier.hkuros | 341676 | - |
| dc.identifier.volume | 42 | - |
| dc.identifier.spage | 1631–1644 | - |
| dc.identifier.epage | 1631–1644 | - |
| dc.identifier.isi | WOS:000814234200020 | - |
| dc.publisher.place | Singapore | - |