Abstract
In this paper, we give a reverse analog of the Bonnesen-style inequality of a convex domain in the surface \( \mathbb{X} \) ∈ of constant curvature ∈, that is, an isoperimetric deficit upper bound of the convex domain in \( \mathbb{X} \) ∈ . The result is an analogue of the known Bottema’s result of 1933 in the Euclidean plane \( \mathbb{E} \) 2.
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Li, M., Zhou, J. An isoperimetric deficit upper bound of the convex domain in a surface of constant curvature. Sci. China Math. 53, 1941–1946 (2010). https://doi.org/10.1007/s11425-010-4018-3
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DOI: https://doi.org/10.1007/s11425-010-4018-3