Sharpened Forms of the Plane Isoperimetric Inequality

American Mathematical Monthly ◽

10.2307/2316850 ◽

1970 ◽

Vol 77 (1) ◽

pp. 29 ◽

Cited By ~ 3

Author(s):

Donald C. Benson

Keyword(s):

Isoperimetric Inequality

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A generalization of the Discrete Isoperimetric Inequality for Piecewise Smooth Curves of Constant Geodesic Curvature

Periodica Mathematica Hungarica ◽

10.1007/s10998-006-0026-z ◽

2006 ◽

Vol 53 (1-2) ◽

pp. 121-131 ◽

Cited By ~ 2

Author(s):

Balázs Csikós ◽

Zsolt Lángi ◽

Márton Naszódi

Keyword(s):

Isoperimetric Inequality ◽

Geodesic Curvature ◽

Piecewise Smooth ◽

Smooth Curves ◽

Constant Geodesic Curvature

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A Generalization of the Isoperimetric Inequality on S 2 and Flat Tori in S 3

Proceedings of the American Mathematical Society ◽

10.2307/2159894 ◽

1994 ◽

Vol 120 (2) ◽

pp. 553

Author(s):

Kazuyuki Enomoto

Keyword(s):

Isoperimetric Inequality ◽

Flat Tori

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A sharp isoperimetric inequality for rank one symmetric spaces

manuscripta mathematica ◽

10.1007/s00229-003-0359-3 ◽

2003 ◽

Vol 111 (1) ◽

pp. 97-104

Author(s):

Thorsten Thies

Keyword(s):

Isoperimetric Inequality ◽

Symmetric Spaces ◽

Rank One

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An isoperimetric inequality for the principal eigenvalue of the Laplacian with drift

Comptes Rendus Mathematique ◽

10.1016/j.crma.2005.01.012 ◽

2005 ◽

Vol 340 (5) ◽

pp. 347-352 ◽

Cited By ~ 9

Author(s):

François Hamel ◽

Nikolai Nadirashvili ◽

Emmanuel Russ

Keyword(s):

Isoperimetric Inequality ◽

Principal Eigenvalue

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Petty's projection inequality and Santalo's affine isoperimetric inequality

Geometriae Dedicata ◽

10.1007/bf01263485 ◽

1995 ◽

Vol 57 (3) ◽

pp. 285-295 ◽

Cited By ~ 6

Author(s):

Micheal Schmuckenschl�ger

Keyword(s):

Isoperimetric Inequality ◽

Affine Isoperimetric Inequality

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Strong isoperimetric inequality for the edge graph of a tiling of the plane

Archiv der Mathematik ◽

10.1007/bf01196597 ◽

1993 ◽

Vol 61 (6) ◽

pp. 584-595

Author(s):

A. Calogero

Keyword(s):

Isoperimetric Inequality ◽

Edge Graph ◽

Strong Isoperimetric Inequality

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An isoperimetric inequality for surfaces stationary with respect to an elliptic integrand and with at most three boundary components

Pacific Journal of Mathematics ◽

10.2140/pjm.1985.116.353 ◽

1985 ◽

Vol 116 (2) ◽

pp. 353-358

Author(s):

Steven C. Pinault

Keyword(s):

Isoperimetric Inequality

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An isoperimetric inequality for an integral operator on flat tori

Illinois Journal of Mathematics ◽

10.1215/ijm/1475266407 ◽

2015 ◽

Vol 59 (3) ◽

pp. 773-793

Author(s):

Braxton Osting ◽

Jeremy Marzuola ◽

Elena Cherkaev

Keyword(s):

Integral Operator ◽

Isoperimetric Inequality ◽

Flat Tori

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An Easy Reduction of an Isoperimetric Inequality on the Sphere to Extremal Set Theory

American Mathematical Monthly ◽

10.2307/2589379 ◽

2000 ◽

Vol 107 (1) ◽

pp. 57

Author(s):

Alexander Russell

Keyword(s):

Isoperimetric Inequality ◽

Set Theory ◽

Extremal Set Theory ◽

Extremal Set

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A quantitative isoperimetric inequality in n-dimensional space.

Journal für die reine und angewandte Mathematik (Crelles Journal) ◽

10.1515/crll.1992.428.161 ◽

1992 ◽

Vol 1992 (428) ◽

pp. 161-176 ◽

Cited By ~ 2

Keyword(s):

Isoperimetric Inequality ◽

Dimensional Space

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