Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom