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On the Newtonian potential of hyperbolic layers. (English. Russian original) Zbl 0597.70007

Sel. Math. Sov. 4, 103-106 (1985); translation from Tr. Tbilis. Univ. 232/233, Ser. Mat. Mekh. Astron. 13/14, 23-29 (1982).
A famous theorem by Isaac Newton states that a homogeneous spherical shell does not attract interior points. Two generalizations of this result are proved: (i) The layer is bounded by a hypersurface of second degree. (ii) The point is hyperbolic with respect to the surface.
Reviewer: J.Marschall

MSC:

70C20 Statics
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