Results 81 to 90 of about 469,360 (206)
Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
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
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The isoperimetric inequality in Rⁿ
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
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The Isoperimetric Inequality: Proofs by Convex and Differential Geometry [PDF]
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
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Isoperimetric inequalities for conformal moments of plane domains
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
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Accelerating black hole chemistry
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
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On The Relative Isoperimetric Inequality
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
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Isoperimetric Inequality in the Plane
. We prove a sharp isoperimetric inequality in the Grushin plane and compute the corresponding isoperimetric ...
Daniele Morbidelli Grushin +1 more
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Characterization of Low Dimensional RCD*(K, N) Spaces
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
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Quantitative stability in the isodiametric inequality via the isoperimetric inequality
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
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Thermodynamic volume of cosmological solitons
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
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