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Math Help - Euler Characteristic of a disk

  1. #1
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    Euler Characteristic of a disk

    I need to find the integral of gaussian curvature of a surface given by the graph over disk x2+y2<=2. I know that the integral of gaussian curvature= 2pi*(euler characteristic).

    The Euler characterisic of the disk x2+y2<=1 is 1. So would the Euler characterisic of my disk: x2+y2<=2 also be 1?

    thanks
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  2. #2
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    Re: Euler Characteristic of a disk

    Yes since they're homeomorphic.
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