Log-Brunn-Minkowski inequality under symmetry
We prove the log-Brunn-Minkowski conjecture for convex bodies with symmetries to $n$ independent hyperplanes, and discuss the equality case and the uniqueness of the solution of the related case of the logarithmic Minkowski problem. We also clarify a small gap in the known argument classifying the e...
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| creator | Böröczky, Károly J Kalantzopoulos, Pavlos |
| description | We prove the log-Brunn-Minkowski conjecture for convex bodies with symmetries
to $n$ independent hyperplanes, and discuss the equality case and the
uniqueness of the solution of the related case of the logarithmic Minkowski
problem. We also clarify a small gap in the known argument classifying the
equality case of the log-Brunn-Minkowski conjecture for unconditional convex
bodies. |
| doi_str_mv | 10.48550/arxiv.2002.12239 |
| format | Article |
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to $n$ independent hyperplanes, and discuss the equality case and the
uniqueness of the solution of the related case of the logarithmic Minkowski
problem. We also clarify a small gap in the known argument classifying the
equality case of the log-Brunn-Minkowski conjecture for unconditional convex
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to $n$ independent hyperplanes, and discuss the equality case and the
uniqueness of the solution of the related case of the logarithmic Minkowski
problem. We also clarify a small gap in the known argument classifying the
equality case of the log-Brunn-Minkowski conjecture for unconditional convex
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to $n$ independent hyperplanes, and discuss the equality case and the
uniqueness of the solution of the related case of the logarithmic Minkowski
problem. We also clarify a small gap in the known argument classifying the
equality case of the log-Brunn-Minkowski conjecture for unconditional convex
bodies.</abstract><doi>10.48550/arxiv.2002.12239</doi><oa>free_for_read</oa></addata></record> |
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| source | arXiv.org |
| subjects | Mathematics - Functional Analysis |
| title | Log-Brunn-Minkowski inequality under symmetry |
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