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【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.,
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【期刊论文】Hyperbolic Rotation Surfaces of Constant Mean Curvature in 3-de Sitter Space
刘会立, Huili Liu, Guili Liu
Bull. Belg. Math. Soc. 7 (2000), 455-466,-0001,():
-1年11月30日
In the 4-dimensional Minkowski space R41, a surface is said to be a hyperbolic rotation surface, if it is a orbit of a regular curve under the action of the orthogonal transformations of R41 which leave a spacelike plane pointwise xed. In this paper, we give the totally classi cation of the timelike and spacelike hyperbolic rotation surfaces in 3-dimensional de Sitter space S31.
de Sitter space,, timelike surface,, spacelike surface,, hyperbolic rotation surface,, constant mean curvature surface.,
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【期刊论文】RELATIVE TCHEBYCHEV SURFACES IN R3
刘会立, Huili Liu and Changping Wang
Kyushu J. Math. 50 (1996), 533-540,-0001,():
-1年11月30日
In this paper some interesting global properties of relative Tchebychev sur-faces in R3 are given. Blaschke's characterization of the ovaloid is generalized to relative differential geometry.
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