A new isoperimetric comparison theorem for surfaces of variable curvature

Author:

Benjamini Itai,Cao Jianguo

Publisher

Duke University Press

Subject

General Mathematics

Reference13 articles.

1. [BP] Ch. Bavard and P. Pansu, Sur le volume minimal de $\bf R\sp 2$, Ann. Sci. École Norm. Sup. (4) 19 (1986), no. 4, 479–490.

2. [BBG] P. Bérard, G. Besson, and S. Gallot, Sur une inégalité isopérimétrique qui généralise celle de Paul Lévy-Gromov, Invent. Math. 80 (1985), no. 2, 295–308.

3. [BZ] Yu. D. Burago and V. A. Zalgaller, Geometric inequalities, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 285, Springer-Verlag, Berlin, 1988.

4. [Ca] E. Calabi, An extension of E. Hopf's maximum principle with an application to Riemannian geometry, Duke Math. J. 25 (1957), 45–56.

5. [CE] J. Cheeger and D. Ebin, Comparison theorems in Riemannian geometry, North-Holland Mathematical Library, vol. 9, North-Holland Publishing Co., Amsterdam, 1975.

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