# ON THE INDEFINITE POSITIVE QUADRIC ℚ+n-2

Hong, Seong-Kowan

• Received : 2016.01.22
• Accepted : 2016.01.28
• Published : 2016.01.30
• 20 7

#### 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

#### References

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#### Acknowledgement

Supported by : Pusan National University