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51.
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
52.
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
53.
Since the great work on holomorphic curves into algebraic varieties intersecting hypersurfaces in general position established by Ru in 2009, recently there has been some developments on the second main theorem into algebraic varieties intersecting moving hypersurfaces targets. The main purpose of this paper is to give some interesting improvements of Ru’s second main theorem for moving hypersurfaces targets located in subgeneral position with index. 相似文献
54.
COMPLETE HYPERSURFACES WITH CONSTANT SCALAR CURVATURE IN A SPECIAL KIND OF LOCALLY SYMMETRIC MANIFOLD 下载免费PDF全文
Yingbo Han & Shuxiang Feng 《分析论及其应用》2012,28(2):189-200
In this paper, we investigate n-dimensional complete and orientable hypersufaces M n (n ≥ 3) with constant normalized scalar curvature in a locally symmetric manifold. Two rigidity theorems are obtained for these hypersurfaces. 相似文献
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.
A fundamental problem regarding the Dirac quantization of a free particle on an () curved hypersurface embedded in N flat space is the impossibility to give the same form of the curvature‐induced quantum potential, the geometric potential as commonly called, as that given by the Schrödinger equation method where the particle moves in a region confined by a thin‐layer sandwiching the surface. This problem is resolved by means of a previously proposed scheme that hypothesizes a simultaneous quantization of positions, momenta, and Hamiltonian, among which the operator‐ordering‐free section is identified and is then found sufficient to lead to the expected form of geometric potential. 相似文献
60.
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