首页 | 本学科首页   官方微博 | 高级检索  
文章检索
  按 检索   检索词:      
出版年份:   被引次数:   他引次数: 提示:输入*表示无穷大
  收费全文   1篇
  完全免费   2篇
  数学   3篇
  2015年   1篇
  2012年   2篇
排序方式: 共有3条查询结果,搜索用时 12 毫秒
1
1.
Let M n be a spacelike linear Weingarten submanifold in a de Sitter space ${S^{n+p}_{p}(1)}$ with R?=?aH?+?b, where R and H are the normalized scalar curvature and the length of the mean curvature vector respectively. In this paper, we give intrinsic and extrinsic conditions for M n to be totally umbilical, respectively.  相似文献
2.
Let $(M^n,g)$ and $(N^{n+1},G)$ be Riemannian manifolds. Let $TM^n$ and $TN^{n+1}$ be the associated tangent bundles. Let $f: (M^n,g) \to (N^{n+1},G)$ be an isometrical immersion with $g=f^\ast G$, $F=(f, df): (TM^n,\ov {g}) \to (TN^{n+1},G_s)$ be the isometrical immersion with $\ov {g}=F^\ast G_s$ where $(df)_x: T_xM\to T_{f(x)}N$ for any $x\in M$ is the differential map, and $G_s$ be the Sasaki metric on $TN$ induced from $G$. This paper deals with the geometry of $TM^n$ as a submanifold of $TN^{n+1}$ by the moving frame method. The authors firstly study the extrinsic geometry of $TM^n$ in $TN^{n+1}$. Then the integrability of the induced almost complex structure of $TM$ is discussed.  相似文献
3.
Let M be a closed surface with positive Gauss curvature minimally immersed in a standard Euclidean unit sphere S~n.In this paper,we choose a local orthonormal frame field on M,under which the shape operators have very convenient form.We also give some applications of this kind of frame field.  相似文献
1
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号