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http://dx.doi.org/10.7858/eamj.2016.010

ON THE INDEFINITE POSITIVE QUADRIC ℚ+n-2  

Hong, Seong-Kowan (Department of Mathematics Education, Pusan National University)
Publication Information
East Asian mathematical journal / v.32, no.1, 2016 , pp. 93-100 More about this Journal
Abstract
The generalized Gaussian image of a spacelike surface in $L^n$ lies in the indefinite positive quadric ${\mathbb{Q}}_+^{n-2}$ in the open submanifold ${\mathbb{C}}P_+^{n-1}$ of the complex projective space ${\mathbb{C}}P^{n-1}$. The purpose of this paper is to find out detailed information about ${\mathbb{Q}}_+^{n-2}{\subset}{\mathbb{C}}P_+^{n-1}$.
Keywords
spacelike surface; the generalized Gauss map; indefinite quadric;
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