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CONSTANT CURVATURE SURFACES IN A PSEUDO-ISOTROPIC SPACE
摘要
In this study, we deal with the local structure of curves and surfaces immersed in a pseudo-isotropic space I_p^3 that is a particular Cayley-Klein space. We provide the formulas of curvature, torsion and Frenet trihedron for spacelike and timelike curves, respectively. The causal character of all admissible surfaces in I_p^3 has to be timelike up to its absolute. We introduce the formulas of Gaussian and mean curvature for timelike surfaces in I_p^3. As applications, we describe the surfaces of revolution which are the orbits of a plane curve under a hyperbolic rotationwith constant Gaussian andmean curvature.
關鍵字
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