頁籤選單縮合
題 名 | On Slant Surfaces |
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作 者 | 陳邦彥; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 3:2 1999.06[民88.06] |
頁 次 | 頁163-179 |
分類號 | 316 |
關鍵詞 | Slant surface; Slant submanifold; Inequality; Gauss curvature; Squared mean curvature; Basic inequality; |
語 文 | 英文(English) |
英文摘要 | A slant immersion was introduced in [1] as an isometric immersion of a Riemannian manifold into an almost Hermitian manifold with constant Wirtinger angle. It is known that there exist ample examples of slant submanifolds; in particular, slant surfaces in complex-space-forms. In this paper, we establish a sharp inequality for slant surfaces and determine the Riemannian structures of special slant surfaces in complex-space-forms. By applying the special forms of the Riemannian structures on special slant surfaces we prove that proper slant surfaces in C �� are minimal if and only if they are special slant. We also determine proper slant surfaces in complex-space-forms which satisfy the equality case of the inequality identically. |
本系統中英文摘要資訊取自各篇刊載內容。