TY - JOUR
T1 - Mean value inequalities and conditions to extend Ricci flow
AU - Cao, Xiaodong
AU - Tran, Hung
N1 - Publisher Copyright:
© 2015, International Press of Boston, Inc. All rights reserved.
PY - 2015
Y1 - 2015
N2 - This paper concerns conditions related to the first finite singularity time of a Ricci flow solution on a closed manifold. In particular, we provide a systematic approach to the mean value inequality method, suggested by N. Le [13] and F. He [11]. We also display a close connection between this method and time slice analysis as in [23]. As an application, we prove several inequalities for a Ricci flow solution on a manifold with nonnegative isotropic curvature.
AB - This paper concerns conditions related to the first finite singularity time of a Ricci flow solution on a closed manifold. In particular, we provide a systematic approach to the mean value inequality method, suggested by N. Le [13] and F. He [11]. We also display a close connection between this method and time slice analysis as in [23]. As an application, we prove several inequalities for a Ricci flow solution on a manifold with nonnegative isotropic curvature.
UR - http://www.scopus.com/inward/record.url?scp=84928892348&partnerID=8YFLogxK
U2 - 10.4310/MRL.2015.v22.n2.a5
DO - 10.4310/MRL.2015.v22.n2.a5
M3 - Article
AN - SCOPUS:84928892348
SN - 1073-2780
VL - 22
SP - 417
EP - 438
JO - Mathematical Research Letters
JF - Mathematical Research Letters
IS - 2
ER -