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排序方式: 共有259条查询结果,搜索用时 184 毫秒
51.
本文研究了局部对称流形中具常平均曲率的完备超曲面,得到了这种超曲面的一个特征定理,推广了H.Alencar和M.do Carmo以及N.X.Shui和G.Q.Wu的结果。 相似文献
52.
Li Haizhong 《Annals of Global Analysis and Geometry》1997,15(4):335-345
Recently, Montiel [7] proved that an n-dimensional (n 3) complete spacelike hypersurface in de Sitter space S1
1
+1(1) with constant mean curvature H satisfying H2 = 4 (n – 1)/n2 which is not connected at infinity must be, up to rigidity motion, a certain hyperbolic cylinder. In this paper, we prove that Montiel's result still holds for higher codimensional spacelike submanifolds in de Sitter space Sn
p
+p(1). 相似文献
53.
ON STATIONARY HYPERSURFACES IN EUCLIDEAN SPACES 总被引:1,自引:0,他引:1
Some techniques in the Geometric Measure Theory are used to study the hypersurfaces in Euclidean spaces and some fundamental properties with this subject are discussed in this article. 相似文献
54.
55.
56.
本文研究了(1)型等参六面体元,基于对三维等参变换的细致估计,得到了(1)型等参六面体元的最优插值误差估计,改进和推广了已有的相应结论. 相似文献
57.
In contrast to an infinite family of explicit examples of two-dimensional p-harmonic functions obtained by G. Aronsson in the late 80s, there is very little known about the higher-dimensional case. In this paper, we show how to use isoparametric polynomials to produce diverse examples of p-harmonic and biharmonic functions. Remarkably, for some distinguished values of p and the ambient dimension n this yields first examples of rational and algebraic p-harmonic functions. Moreover, we show that there are no p-harmonic polynomials of the isoparametric type. This supports a negative answer to a question proposed in 1980 by J. Lewis. 相似文献
58.
NIE ChangXiong LI TongZhu HE YiJun & WU ChuanXi Faculty of Mathematics Computer Sciences Hubei University Wuhan China School of Mathematical Sciences Peking University Beijing Faculty of Sciences Beijing Institute of Technology Beijing School of Mathematical Sciences Shanxi University Taiyuan 《中国科学 数学(英文版)》2010,(4)
The conformal geometry of regular hypersurfaces in the conformal space is studied.We classify all the conformal isoparametric hypersurfaces with two distinct conformal principal curvatures in the conformal space up to conformal equivalence. 相似文献
59.
Luis J. Alías 《Geometriae Dedicata》1999,77(3):297-304
In this paper we establish a sufficient condition for a compact spacelike hypersurface in de Sitter space to be spherical in terms of a pinching condition for the Ricci curvature. Our result will be a consequence of an integral formula involving the Ricci curvature and the scalar curvature of the hypersurface. We also derive some other consequences and applications of this formula. 相似文献
60.
Thomas Nehring 《Annals of Global Analysis and Geometry》1999,17(1):77-96
In this article a priori estimates at the boundary for the second fundamental form of n-dimensional convex hypersurfaces M with prescribed curvature quotient Sn (M)/Sl (M) in Riemannian manifolds are derived. A consequence of these estimates and other known results is an existence theorem for such hypersurfaces, which is a generalization of a recent result of Ivochkina and Tomi to the Riemannian case. 相似文献