Constant Scalar Curvature of Three Dimensional Surfaces Obtained by the Equiform Motion of a Sphere
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In this paper we consider the equiform motion of a sphere in Euclidean space $\mathbf{E}^7$. We study and analyze the corresponding kinematic three dimensional surface under the hypothesis that its scalar curvature $\mathbf{K}$ is constant. Under this assumption, we prove that $|\mathbf{K}|<2$.
11 pages olly
11 pages olly