Lagrangian H-umbilical submanifolds in quaternion Euclidean spaces
| Autor: | Yun Myung Oh, Joon Hyuk Kang |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2003 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics quaternion extensors Hurwitz quaternion Euclidean space Quantitative Biology::Tissues and Organs Mathematical analysis Mathematics::General Topology 53C40 Hypersphere Euclidean distance matrix Submanifold Lagrangian submanifolds Euclidean distance Differential Geometry (math.DG) FOS: Mathematics Euclidean domain Mathematics::Differential Geometry Quaternion Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | Tsukuba J. Math. 29, no. 1 (2005), 233-245 |
| Popis: | In [2], B. Y. Chen proved that the Lagrangian $H$-umbilical submanifolds in complex Euclidean space C$^{n}$ are Lagrangian pseudospheres and complex extensors of the unit hypersphere of E$^{n}$, except the flat ones. Similar to this, we can define the Lagrangian $H$-umbilical submanifold in quatemion space forms. The main purpose of this paper is to classify the Lagrangian $H$-umbilical submanifolds in quatemion Euclidean space H$^{n}$. |
| Databáze: | OpenAIRE |
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