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【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.
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【期刊论文】Conformal Structure in Affne Geometry: Complete Tchebychev Hypersurfaces
刘会立, Huili Liu, Udo Simon, Changping Wang**
Abh. Math. Sem. Univ. Hamburg 66 (1996), 249-262,-0001,():
-1年11月30日
We give a conformal classification of affine-complete centroaffne Tchebychev hypersurfaces recently introduced by Liu and Wang. This classifica-tion is based on partial differential equations known from conformal Riemannian geometry. Moreover we investigate Tchebychev hyperovaloids and generalize the classical theorem of Blaschke and Deicke on a
conformal differential equation,, centroaffine Tchebychev hypersur-face,, affine spheres.,
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【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.,
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【期刊论文】Centroaffine Surfaces with parallel traceless Cubic Form
刘会立, Huili Liu, Changping Wang†
Bull. Belg. Math. Soc. 4 (1997), 493-499,-0001,():
-1年11月30日
In this paper, we classify the centroa ne surfaces with parallel cubic Simon form and the centroa ne minimal surfaces with complete positive de nite at metric.
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【期刊论文】CURVES IN THE LIGHTLIKE CONE
刘会立, Huili Liu
Beitr,-0001,():
-1年11月30日
In this paper, we study curves in the lightlike cone. We rst obtain the con-formal invariant arc length in the (n+1)-dimensional lightlike cone and then characterize some curves in the 2-dimensional lightlike cone and 3-dimensional lightlike cone.
Lightlike cone,, conformal invariant,, Frenet formula,, curvature function
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