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- W2021481566 abstract "We consider in the n-dimensional Riemannian space a domain with compact closure T bounded by a regular hypersurface Γ . We assume that the sectional curvatures in T are positive and the boundary Γ is strictly convex. We let V denote the volume of T, S the (n - 1) -dimensional volume of Γ, H the integral mean curvature of Γ, and r the radius of the inscribed ball. The basic result is the inequality V ≤ S2/H, which is implied by the two estimates V ≤ Sr and r ≤ S/H. Both these bounds are exact. Bibliography: 6 items." @default.
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- W2021481566 date "1973-02-28" @default.
- W2021481566 modified "2023-09-26" @default.
- W2021481566 title "AN INEQUALITY OF THE ISOPERIMETRIC TYPE FOR A DOMAIN IN A RIEMANNIAN SPACE" @default.
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- W2021481566 doi "https://doi.org/10.1070/sm1973v019n02abeh001754" @default.
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