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An existence time estimate for Kähler–Ricci flow
Author(s) -
Chau Albert,
Li KaFai,
Tam LuenFai
Publication year - 2016
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdw035
Subject(s) - mathematics , ricci curvature , curvature , bounded function , ricci flow , manifold (fluid mechanics) , flow (mathematics) , mathematical analysis , combinatorics , pure mathematics , geometry , mechanical engineering , engineering
Fix a complete non‐compact Kähler manifold ( M n , h 0 ) with bounded curvature. Let g ( t ) be a bounded curvature solution to the Kähler–Ricci flow starting from someg 0that is uniformly equivalent toh 0 . We estimate the existence time of g ( t ) together withC 0bounds and curvature bounds, where the estimates depend only onh 0and theC 0distance betweeng 0andh 0 . We also generalize these results to cases wheng 0may have unbounded curvature.