A note on Ricci flow and optimal transportation

Simon Brendle

Journal of the European Mathematical Society (2011)

  • Volume: 013, Issue: 1, page 249-258
  • ISSN: 1435-9855

Abstract

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We describe a new link between Perelman’s monotonicity formula for the reduced volume and ideas from optimal transport theory.

How to cite

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Brendle, Simon. "A note on Ricci flow and optimal transportation." Journal of the European Mathematical Society 013.1 (2011): 249-258. <http://eudml.org/doc/277520>.

@article{Brendle2011,
abstract = {We describe a new link between Perelman’s monotonicity formula for the reduced volume and ideas from optimal transport theory.},
author = {Brendle, Simon},
journal = {Journal of the European Mathematical Society},
keywords = {Ricci flow; reduced volume; optimal transportation; interpolation inequality; Ricci flow; reduced volume; interpolation inequality},
language = {eng},
number = {1},
pages = {249-258},
publisher = {European Mathematical Society Publishing House},
title = {A note on Ricci flow and optimal transportation},
url = {http://eudml.org/doc/277520},
volume = {013},
year = {2011},
}

TY - JOUR
AU - Brendle, Simon
TI - A note on Ricci flow and optimal transportation
JO - Journal of the European Mathematical Society
PY - 2011
PB - European Mathematical Society Publishing House
VL - 013
IS - 1
SP - 249
EP - 258
AB - We describe a new link between Perelman’s monotonicity formula for the reduced volume and ideas from optimal transport theory.
LA - eng
KW - Ricci flow; reduced volume; optimal transportation; interpolation inequality; Ricci flow; reduced volume; interpolation inequality
UR - http://eudml.org/doc/277520
ER -

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