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PreprintCC BY 4.0arXiv

A new proof of equality cases of the Brunn-Minkowski inequality on manifolds

Abstract

We give a new proof of equality cases of the Brunn-Minkowski inequality on manifolds, following the work of Balogh-Krisátly. Our proof extends also to equality cases of the strong Brunn-Minkowski inequality, introduced by Magnabosco-Portinale-Rossi.

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BibTeX
@misc{farooqui2026proof,
  title = {{A new proof of equality cases of the Brunn-Minkowski inequality on manifolds}},
  author = {Osama Farooqui},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22517},
  eprint = {2610.22517},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22517},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A new proof of equality cases of the Brunn-Minkowski inequality on manifolds
AU  - Osama Farooqui
PY  - 2026
DA  - 2026/10/15
PB  - arXiv
DO  - 10.48550/arxiv.2610.22517
UR  - https://arxiv.org/abs/2610.22517
AB  - We give a new proof of equality cases of the Brunn-Minkowski inequality on manifolds, following the work of Balogh-Krisátly. Our proof extends also to equality cases of the strong Brunn-Minkowski inequality, introduced by Magnabosco-Portinale-Rossi.
ER  -