Reference : An entropy formula relating Hamiltonʼs surface entropy and Perelmanʼs W entropy
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/26388
An entropy formula relating Hamiltonʼs surface entropy and Perelmanʼs W entropy
English
Guo, Hongxin [Wenzhou University > School of Mathematics and Information Science]
Feb-2013
Comptes Rendus. Mathématique
Elsevier Science
351
3-4
115-118
Yes (verified by ORBilu)
1631-073X
1778-3569
[en] In this note, based on Hamiltonʼs surface entropy formula, we construct an entropy formula of Perelmanʼs type for the Ricci flow on a closed surface with positive curvature. Similar to Perelmanʼs WW entropy, the critical point of our entropy is the gradient shrinking soliton; however, there is no conjugate heat equation involved. This shows a close relation between Hamiltonʼs entropy and Perelmanʼs W entropy on closed surfaces.
http://hdl.handle.net/10993/26388
10.1016/j.crma.2013.03.003

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