On Some Special Surfaces Connected with Convex Surfaces of the Lobachevskii Space |
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Authors: | V K Ionin |
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Institution: | (1) Sobolev Institute of Mathematics, Novosibirsk |
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Abstract: | With a closed convex surface in a Lobachevskii space we associate four special surfaces: the inscribed and circumscribed spheres, a sphere rolling freely over the inner side of , and an equidistant surface over whose inner side rolls freely. We find an exact dependence between these four special surfaces. |
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Keywords: | convex surface sphere equidistant surface |
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