Journal article
On an isoperimetric-isodiametric inequality
- Abstract:
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The Euclidean mixed isoperimetric-isodiametric inequality states that the round ball maximizes the volume under constraint on the product between boundary area and radius. The goal of the paper is to investigate such mixed isoperimetric-isodiametric inequalities in Riemannian manifolds. We first prove that the same inequality, with the sharp Euclidean constants, holds on Cartan-Hadamard spaces as well as on minimal submanifolds of ℝn. The equality cases are also studied and completely charact...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Version of record, pdf, 1.2MB)
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- Publisher copy:
- 10.2140/apde.2017.10.95
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Authors
Bibliographic Details
- Publisher:
- Mathematical Sciences Publishers Publisher's website
- Journal:
- Analysis and PDE Journal website
- Volume:
- 10
- Issue:
- 1
- Pages:
- 95-126
- Publication date:
- 2017-01-30
- Acceptance date:
- 2016-11-01
- DOI:
- EISSN:
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1948-206X
- ISSN:
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2157-5045
- Source identifiers:
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1061592
Item Description
- Language:
- English
- Keywords:
- Pubs id:
-
pubs:1061592
- UUID:
-
uuid:48d8d5aa-0645-41fe-984c-3b97e96a0ab9
- Local pid:
- pubs:1061592
- Deposit date:
- 2019-10-11
Terms of use
- Copyright holder:
- Mathematical Sciences Publishers
- Copyright date:
- 2017
- Notes:
- © 2017 Mathematical Sciences Publishers. First published in Analysis & PDE in Vol. 10 (2017), No. 1, published by Mathematical Sciences Publishers
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