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題 名 | Classification of Pseudo-umbilical Slant Surfaces in Lorentzian Complex Space Forms |
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作 者 | 富宇; 侯中華; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 15:5 2011.10[民100.10] |
頁 次 | 頁1919-1938 |
分類號 | 316.5 |
關鍵詞 | Slant surface; Pseudo-umbilical surface; Lorentzian complex space forms; |
語 文 | 英文(English) |
英文摘要 | In this paper we prove that slant surfaces in a non-flat Lorentzian complex space form must be Lagrangian. By applying this result, we completely classify pseudo-umbilical slant surfaces in Lorentzian complex space forms. Our classification results state that there exist two families of pseudo-umbilical slant surfaces in Lorentzian complex plane C21, three families in complex projective plane CP21, and three families in complex hyperbolic plane CH2. |
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