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ozlem

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**1. Let p be an arbitrary point on the unit sphere S**

^{2n+1}of C^{n+1}=R^{2n+2}. Determine the tangent space T_{p}S^{2n+1}and show that it contains an n-dimensional complex subspace of C^{n+1}## Homework Equations

**3. It is easy to find tangent space of S**

^{1}; it is only tangent vector field of S^{1}. But what must do for higher dimension and how can I show it contains an n-dimensional subspace of C^{n+1}. Thanks for your helps.