On regular algebraic surfaces of R³ with constant mean curvature
Barbosa, João Lucas Marques · Carmo, Manfredo Perdigão do
Original · EN
We consider regular surfaces M that are given as the zeros of a polynomial function p:R³→ R, where the gradient of p vanishes nowhere. We assume that M has non-zero mean curvature and prove that there exist only two examples of such surfaces, namely the sphere and the circular cylinder.
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