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- W2327856587 abstract "where the equality holds if and only if C is a circle. By using different methods many authors have given different proofs for this inequality (1.1), and extended the inequality to surfaces in ordinary euclidean space E3 under different conditions on the gaussian and mean curvatures of the surfaces (for this see [3], [1], [5], [10], [9], [11]). The purpose of this paper is to further extend the inequality to the most general two-dimensional riemannian manifolds with boundary, which can be imbedded in a euclidean space EN+2 of dimension N + 2 for any N > 0. The results are contained in Theorems 4.1 and 4.2." @default.
- W2327856587 created "2016-06-24" @default.
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- W2327856587 date "1961-01-01" @default.
- W2327856587 modified "2023-09-25" @default.
- W2327856587 title "Isoperimetic Inequalities for Two-Dimensional Riemannian Manifolds with Boundary" @default.
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- W2327856587 doi "https://doi.org/10.2307/1970287" @default.
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