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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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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

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刘会立邀请

东北大学，辽宁

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