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2005年11月04日

【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

摘要

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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2005年11月04日

【期刊论文】Codazzi Tensors and the Topology of Surfaces

刘会立， H. L. LIU*， U. SIMON**， C. P. WANG‡

Annals of Global Analysis and Geometry 16: 189-202, 1998.，-0001，（）：

-1年11月30日

摘要

We introduce the notion of .(0,m)-Codazzi tensors relative to an affine connection which extends the well known concept for m D 2. On compact Riemannian surfaces of genus we determine the dimension of the R-vector space of traceless Codazzi tensors, which depends on m and only, additionally we extend these result for genus zero. We give some exemplary applications to submanifolds in affine and in Riemannian geometry and to Weyl geometries

Codazzi tensor,， index method,， topology of surfaces