Estimate of isodiametric constant for closed surfaces

Takashi Shioya

doi:10.1007/s10711-014-0017-9

Estimate of isodiametric constant for closed surfaces

Takashi Shioya

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We give an explicit estimate of the area of a closed surface by the diameter and a lower bound of curvature. This is better than Calabi–Cao’s (J Differ Geom 36(3): 517–549, 1992) estimate for a nonnegatively curved two-sphere.

Original language	English
Pages (from-to)	279-285
Number of pages	7
Journal	Geometriae Dedicata
Volume	174
Issue number	1
DOIs	https://doi.org/10.1007/s10711-014-0017-9
Publication status	Published - 2015 Feb

Keywords

A. D. Alexandrov’s conjecture
Area
Curvature
Diameter
Isodiametric inequality

ASJC Scopus subject areas

Geometry and Topology

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10.1007/s10711-014-0017-9

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keywords = "A. D. Alexandrov{\textquoteright}s conjecture, Area, Curvature, Diameter, Isodiametric inequality",

author = "Takashi Shioya",

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N2 - We give an explicit estimate of the area of a closed surface by the diameter and a lower bound of curvature. This is better than Calabi–Cao’s (J Differ Geom 36(3): 517–549, 1992) estimate for a nonnegatively curved two-sphere.

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KW - Area

KW - Curvature

KW - Diameter

KW - Isodiametric inequality

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Estimate of isodiametric constant for closed surfaces

Abstract

Keywords

ASJC Scopus subject areas

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