BOUNDING SECTIONAL CURVATURE ALONG THE KAHLER-RICCI FLOW

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If a normalized Kahler-Ricci flow g(t), t is an element of [0,infinity), on a compact Kahler manifold M, dim(C) M = n >= 3, with positive first Chern class satisfies g(t) is an element of 2 pi c(1)(M) and has curvature operator uniformly bounded in L(n)-norm, the curvature operator will also be uniformly bounded along the flow. Consequently, the flow will converge along a subsequence to a Kahler-Ricci soliton.
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Issue Date
2009-12
Language
English
Article Type
Article
Keywords

1ST CHERN CLASS; CONVERGENCE; MANIFOLDS; CONSTRUCTION; METRICS

Citation

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v.11, no.6, pp.1067 - 1077

ISSN
0219-1997
URI
http://hdl.handle.net/10203/95383
Appears in Collection
MA-Journal Papers(저널논문)
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