共查询到13条相似文献,搜索用时 62 毫秒
1.
Complete Space-like λ-surfaces in the Minkowski Space R_1~3 with the Second Fundamental Form of Constant Length
下载免费PDF全文
![点击此处可从《数学学报(英文版)》网站下载免费的PDF全文](/ch/ext_images/free.gif)
《数学学报(英文版)》2020,(5)
In this paper we study the complete space-like λ-surfaces in the three dimensional Minkowski space R_1~3. As the result, we obtain a complete classification theorem for all the complete space-like λ-surfaces x : M~2→ R_1~3 with the second fundamental form of constant length. This is a natural extension to the λ-surfaces in R_1~3 of a recent interesting classification theorem by Cheng and Wei for λ-surfaces in the Euclidean space R~3. 相似文献
2.
We show that, up to some natural normalizations, the moduli space of singly periodic complete embedded maximal surfaces in
the Lorentz–Minkowski space , with fundamental piece having a finite number (n + 1) of singularities, is a real analytic manifold of dimension 3n + 4. The underlying topology agrees with the topology of uniform convergence of graphs on compact subsets of {x
3 = 0}.
相似文献
3.
Potential Analysis - We compute the best constant in the embedding of $W^{N,1}(\mathbb {R} ^{N})$ into $L^{\infty }(\mathbb {R} ^{N})$ , extending a result of Humbert and Nazaret in dimensions one... 相似文献
4.
5.
6.
研究了三维Minkowski空间E1^3中,类空曲面上曲率线族的切线构成的双曲型直线汇.不仅推广了Abdel-Baky^[1,2]的结论,还进一步研究了此类线汇在E1^3中的其它性质. 相似文献
7.
利用活动标架法和广义极大值原理研究了不定复射影空间中完备的具有平行平均曲率向量的全实类空子流形,得到这类子流形的Pinching定理. 相似文献
8.
The complete space-like hypersurfaces with constant normal saclar curvature is discussed in a locally symmetric Lorentz space. A classified theorem is obtained by the operator L_1 introduced by S Y Cheng and S T Yau [3]. 相似文献
9.
Given a surface S, a map N from S to
and a conformal structure on S, we solve the problem of the existence and uniqueness of an immersion
with a Gauss map N such that the conformal structure on S is the induced by the second fundamental form. 相似文献
10.
11.
12.
Xing Xiao LI Feng Yun ZHANG 《数学学报(英文版)》2007,23(3):533-548
For an immersed submanifold x : M^m→ Sn in the unit sphere S^n without umbilics, an eigenvalue of the Blaschke tensor of x is called a Blaschke eigenvalue of x. It is interesting to determine all hypersurfaces in Sn with constant Blaschke eigenvalues. In this paper, we are able to classify all immersed hypersurfaces in S^m+1 with vanishing MSbius form and constant Blaschke eigenvalues, in case (1) x has exact two distinct Blaschke eigenvalues, or (2) m = 3. With these classifications, some interesting examples are also presented. 相似文献
13.
T. Hasanis A. Savas-Halilaj T. Vlachos 《Transactions of the American Mathematical Society》2007,359(6):2799-2818
We investigate 3-dimensional complete minimal hypersurfaces in the hyperbolic space with Gauss-Kronecker curvature identically zero. More precisely, we give a classification of complete minimal hypersurfaces with Gauss-Kronecker curvature identically zero, a nowhere vanishing second fundamental form and a scalar curvature bounded from below.