THE AXIOM OF PLANE ON WARPED PRODUCT MODELS AND ITS APPLICATION THE AXIOM OF PLANE ON WARPED PRODUCT MODELS AND ITS APPLICATION
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Abstract
We establish the axiom of plane for warped product models. The axiom applies to a classical problem discussed by H. von Mangoldt and CohnVossen on the size of poles of convex surfaces of revolution. The radius of the smallest ball containing the set of all poles on a Euclidean $ n $model can be expressed by using the warping function of it.
We establish the axiom of plane for warped product models. The axiom applies to a classical problem discussed by H. von Mangoldt and CohnVossen on the size of poles of convex surfaces of revolution. The radius of the smallest ball containing the set of all poles on a Euclidean <i>n</i>model can be expressed by using the warping function of it.
Journal

 Kyushu Journal of Mathematics

Kyushu Journal of Mathematics 59(2), 385392, 2005
Kyushu University