Results 81 to 90 of about 469,360 (206)

Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes

open access: yesJournal of Function Spaces, 2018
Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
doaj   +1 more source

The isoperimetric inequality in Rⁿ

open access: yes, 2011
This thesis presents a complete proof of the isoperimetric inequality for a smooth surface in Euclidean space. The proof uses the Brunn-Minkowski Inequality, the formulae for the first variations of area and Alexandrov’s theorem.Science, Faculty ...
Ross, Carol
core   +1 more source

The Isoperimetric Inequality: Proofs by Convex and Differential Geometry [PDF]

open access: yes, 2020
The Isoperimetric Inequality has many different proofs using methods from diverse mathematical fields. In the paper, two methods to prove this inequality will be shown and compared.
Gehring, Penelope
core   +1 more source

Isoperimetric inequalities for conformal moments of plane domains

open access: yesJournal of Inequalities and Applications, 2002
We prove a new sharp inequality for norms in weighted Bergman space. This inequality is then used to derive isoperimetric inequalities for geometric functionals which are closely related to the torsional rigidity of a simply connected domain (F.
Avkhadiev FG, Salahudinov RG
doaj  

Accelerating black hole chemistry

open access: yesPhysics Letters B, 2019
We introduce a new set of chemical variables for the accelerating black hole. We show how these expressions suggest that conical defects emerging from a black hole can be considered as true hair – a new charge that the black hole can carry – and discuss ...
Ruth Gregory, Andrew Scoins
doaj   +1 more source

On The Relative Isoperimetric Inequality

open access: yes, 2002
If C C, does D satisfy the isoperimetric inequality #nVolume(D) ? Does equality hold if and only if C = H and D is a half ball with the flat part of its boundary lying in #H?
Jaigyoung Choe
core  

Isoperimetric Inequality in the Plane

open access: yes, 2004
. We prove a sharp isoperimetric inequality in the Grushin plane and compute the corresponding isoperimetric ...
Daniele Morbidelli Grushin   +1 more
core  

Characterization of Low Dimensional RCD*(K, N) Spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2016
In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called RCD*(K, N) spaces) with non-empty one dimensional regular sets.
Kitabeppu Yu, Lakzian Sajjad
doaj   +1 more source

Quantitative stability in the isodiametric inequality via the isoperimetric inequality

open access: yes, 2014
The isodiametric inequality is derived from the isoperimetric inequality through a variational principle, establishing that balls maximize the perimeter among convex sets with fixed diameter.
Ponsiglione M.   +5 more
core   +2 more sources

Thermodynamic volume of cosmological solitons

open access: yesPhysics Letters B, 2017
We present explicit expressions of the thermodynamic volume inside and outside the cosmological horizon of Eguchi–Hanson solitons in general odd dimensions.
Saoussen Mbarek, Robert B. Mann
doaj   +1 more source

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