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

1995 ◽  
Vol 57 (3) ◽  
pp. 285-295 ◽  
Author(s):  
Micheal Schmuckenschl�ger
Keyword(s):  
Isoperimetric Inequality ◽  
Affine Isoperimetric Inequality

scholarly journals A generalized affine isoperimetric inequality

2004 ◽  
Vol 14 (4) ◽  
pp. 597-612 ◽  
Author(s):  
W. Chen ◽  
R. Howard ◽  
E. Lutwak ◽  
D. Yang ◽  
G. Zhang
Keyword(s):  
Isoperimetric Inequality ◽  
Affine Isoperimetric Inequality

scholarly journals The Orlicz affine isoperimetric inequality

2014 ◽  
pp. 1079-1089
Author(s):  
Fangwei Chen ◽  
Congli Yang ◽  
Jiazu Zhou
Keyword(s):  
Isoperimetric Inequality ◽  
Affine Isoperimetric Inequality

scholarly journals Functional Geominimal Surface Area and Its Related Affine Isoperimetric Inequality

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Niufa Fang ◽  
Jin Yang
Keyword(s):  
Surface Area ◽  
Isoperimetric Inequality ◽  
Convex Bodies ◽  
Mixed Volume ◽  
Concave Functions ◽  
Variation Formula ◽  
First Variation ◽  
The First Variation ◽  
Geominimal Surface Area ◽  
Affine Isoperimetric Inequality

The first variation of the total mass of log-concave functions was studied by Colesanti and Fragalà, which includes the Lp mixed volume of convex bodies. Using Colesanti and Fragalà’s first variation formula, we define the geominimal surface area for log-concave functions, and its related affine isoperimetric inequality is also established.

scholarly journals On the Stability of the p-Affine Isoperimetric Inequality

2013 ◽  
Vol 24 (4) ◽  
pp. 1898-1911 ◽  
Author(s):  
Mohammad N. Ivaki
Keyword(s):  
Isoperimetric Inequality ◽  
The Stability ◽  
Affine Isoperimetric Inequality

scholarly journals Stability of the Blaschke–Santaló and the affine isoperimetric inequality

2010 ◽  
Vol 225 (4) ◽  
pp. 1914-1928 ◽  
Author(s):  
Károly J. Böröczky
Keyword(s):  
Isoperimetric Inequality ◽  
Affine Isoperimetric Inequality

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

2006 ◽  
Vol 53 (1-2) ◽  
pp. 121-131 ◽  
Author(s):  
Balázs Csikós ◽  
Zsolt Lángi ◽  
Márton Naszódi
Keyword(s):  
Isoperimetric Inequality ◽  
Geodesic Curvature ◽  
Piecewise Smooth ◽  
Smooth Curves ◽  
Constant Geodesic Curvature

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

1994 ◽  
Vol 120 (2) ◽  
pp. 553
Author(s):  
Kazuyuki Enomoto
Keyword(s):  
Isoperimetric Inequality ◽  
Flat Tori

A sharp isoperimetric inequality for rank one symmetric spaces

2003 ◽  
Vol 111 (1) ◽  
pp. 97-104
Author(s):  
Thorsten Thies
Keyword(s):  
Isoperimetric Inequality ◽  
Symmetric Spaces ◽  
Rank One

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

2005 ◽  
Vol 340 (5) ◽  
pp. 347-352 ◽  
Author(s):  
François Hamel ◽  
Nikolai Nadirashvili ◽  
Emmanuel Russ
Keyword(s):  
Isoperimetric Inequality ◽  
Principal Eigenvalue

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

1993 ◽  
Vol 61 (6) ◽  
pp. 584-595
Author(s):  
A. Calogero
Keyword(s):  
Isoperimetric Inequality ◽  
Edge Graph ◽  
Strong Isoperimetric Inequality
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