| Tartalom: |
http://real.mtak.hu/15231/ |
| Archívum: |
MTA Könyvtár |
| Gyűjtemény: |
Status = Published
Type = Article
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| Cím: |
A Sharp Sobolev Interpolation Inequality on Finsler Manifolds
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| Létrehozó: |
Kristály, Alexandru
|
| Kiadó: |
Springer Verlag
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| Dátum: |
2015
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| Téma: |
QA Mathematics / matematika
QA73 Geometry / geometria
QA74 Analysis / analĂzis
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| Tartalmi leírás: |
In this paper we study a sharp Sobolev interpolation inequality on Finsler
manifolds. We show that Minkowski spaces represent the optimal framework for the
Sobolev interpolation inequality on a large class of Finsler manifolds: (1) Minkowski
spaces support the sharp Sobolev interpolation inequality; (2) any complete Berwald
space with non-negative Ricci curvature which supports the sharp Sobolev interpolation
inequality is isometric to a Minkowski space. The proofs are based on properties
of the Finsler–Laplace operator and on the Finslerian Bishop–Gromov volume comparison
theorem.
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| Nyelv: |
angol
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| Típus: |
Article
PeerReviewed
info:eu-repo/semantics/article
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| Formátum: |
text
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| Azonosító: |
Kristály, Alexandru (2015) A Sharp Sobolev Interpolation Inequality on Finsler Manifolds. Journal of Geometric Analysis, 25 (4). pp. 2226-2240. ISSN 1050-6926
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| Kapcsolat: |
doi:10.1007/s12220-014-9510-5
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