已为您找到该学者13条结果 成果回收站
【期刊论文】Cubic Form Methods and Relative Tchebychev Hypersurfaces
刘会立, A.-M. LI, H. L. LIU, A. SCHWENK-SCHELLSCHMIDT, U. SIMON and C. P. WANG*
Geometriae Dedicata 66: 203-221, 1997.,-0001,():
-1年11月30日
We introduce the concept of a relative Tchebychev hypersurface which extends that of affine spheres in equiaffine geometry and also that of centroaffine Tchebychev hypersurfaces and give partial local and global classifications for this new class. Our tools concern a new operator and interesting properties of the traceless part of the cubic form.
Tchebychev hypersurface,, relative geometry,, hyperovaloid,, cubic form.,
-
51浏览
-
0点赞
-
0收藏
-
0分享
-
161下载
-
0
-
引用
【期刊论文】Weingarten rotation surfaces in 3-dimensional de Sitter space
刘会立, Huili Liu* and Guili Liu
J. Geom. 79(2004)156-168,-0001,():
-1年11月30日
In the 3-dimensional de Sitter Space S31, a surface is said to be a spherical (resp. hyperbolic or parabolic) rotation surface, if it is a orbit of a regular curve under the action of the orthogonal transformations of the 4-dimensional Minkowski space E4 1 which leave a timelike (resp. spacelike or degenerate) plane pointwise fixed. In this paper, we give all spacelike and timelike Weingarten rotation surfaces in S31.
Weingarten surface,, de Sitter space,, rotation surface,, principal curvature.,
-
41浏览
-
0点赞
-
0收藏
-
0分享
-
143下载
-
0
-
引用
【期刊论文】Classification of Surfaces in R3 which are centroaffine-minimal and equiaffine-minimal
刘会立, Huili Liu*
Bull. Belg. Math. Soc. 3 (1996), 577-583,-0001,():
-1年11月30日
We classify all surfaces which are both, centroa ne-minimal and equia neminimal in R3.
-
47浏览
-
0点赞
-
0收藏
-
0分享
-
130下载
-
0
-
引用
【期刊论文】Classiflcation of flat indeflnite Equi-centroaffnely Homogeneous Surfaces in R4
刘会立, Huili Liu*
Results in Mathematics 29 (1996),-0001,():
-1年11月30日
A nondegenerate equi-centroaffne surface in R4 is called homoge-neous if for any two points p and q on the surface there exists an equi-centroaffne transformation in R4 which takes the surface to itself and takes p to q. In this paper we classify the equi-centroaffnely homogeneous surfaces with flat indefinite metric in R4 up to centroa
-
72浏览
-
0点赞
-
0收藏
-
0分享
-
129下载
-
0
-
引用
【期刊论文】Translation Surfaces with constant Mean Curvature in 3-dimensional Spaces
刘会立, Huili Liu*
J. Geom. 64 (1999), 141-149,-0001,():
-1年11月30日
We give the classiffcation of the translation surfaces with constant mean curvature or constant Gauss curvature in 3-dimensional Euclidean space E3 and 3-dimensional Minkowski space E31.
Keywords and phrases., Mean curvature,, translation surface,, spacelike surface,, timelike sur-face.,
-
33浏览
-
0点赞
-
0收藏
-
0分享
-
128下载
-
0
-
引用