Question: (10 marks) Let R3 be a regular surface diffeomorphic to the torus. Prove that there exists a point p such that the gaussian curvature of

(10 marks) Let R3 be a regular surface diffeomorphic to the torus. Prove that there exists a point p such that the gaussian curvature of at p is strictly negative

(10 marks) Let R3 be a regular surface diffeomorphic to the torus.

(b) Let E C R be a regular surface diffeomorphic to the torus. Prove that there exists a point p such that the gaussian curvature of E at p is strictly negative

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