Exercise 3. Show that the Gaussian curvature of a surface which is home- omorphic to the torus must alwasy be equal to zero at some point. Exercise 4 Show that simple closed curve with total geodesic curature

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Chapter2: Second-order Linear Odes
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Exercise 3
**Exercise 3.** Show that the Gaussian curvature of a surface which is homeomorphic to the torus must always be equal to zero at some point.
Transcribed Image Text:**Exercise 3.** Show that the Gaussian curvature of a surface which is homeomorphic to the torus must always be equal to zero at some point.
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