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Twistor holomorphic affine surfaces and projective invariants
http://hdl.handle.net/2297/43088
http://hdl.handle.net/2297/4308813fadb6e-3d30-4964-b8c4-6e59aff77d1a
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
ED-PR-HASEGAWA-K-325.pdf (130.1 kB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
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| 公開日 | 2017-10-02 | |||||
| タイトル | ||||||
| タイトル | Twistor holomorphic affine surfaces and projective invariants | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
| 資源タイプ | journal article | |||||
| 著者 |
Hasegawa, Kazuyuki
× Hasegawa, Kazuyuki |
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| 書誌情報 |
SUT Journal of Mathematics 巻 50, 号 2, p. 325-341, 発行日 2014-01-01 |
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| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 0916-5746 | |||||
| NCID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA1075431X | |||||
| DOI | ||||||
| 関連タイプ | isVersionOf | |||||
| 識別子タイプ | DOI | |||||
| 関連識別子 | https://doi.org/10.55937/sut/1424794189 | |||||
| 出版者 | ||||||
| 出版者 | Tokyo University of Science | |||||
| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | We study affine immersions with twistor lifts. Using a decomposition of a connection, we obtain several projective invariants for such affine immersions. In particular, affine immersions with holomorphic twistor lifts are considered. We can show the property that an affine immersion has holomor-phic twistor lifts is invariant under projective transformations and characterize immersions with holomorphic twistor lifts by vanishing of some of projective invariants. In the case of compact affine surfaces with holomorphic twistor lifts, we see a quantization phenomenon for one of the projective invariants which we obtain. Moreover, we prove that a real analytic twistor holomorphic affine surface with the symmetric Ricci tensor with respect to both complex structures is totally geodesic or totally umbilic. © 2014 Tokyo University of Science. All Rights Reserved. | |||||
| 著者版フラグ | ||||||
| 出版タイプ | AM | |||||
| 出版タイプResource | http://purl.org/coar/version/c_ab4af688f83e57aa | |||||
