TY - JOUR
T1 - Harnack Estimates for Ricci Flow on a Warped Product
AU - Tran, Hung
N1 - Publisher Copyright:
© 2015, Mathematica Josephina, Inc.
PY - 2016/7/1
Y1 - 2016/7/1
N2 - In this paper, we study the Ricci flow on a closed manifold equipped with a warped product metric (N× F, gN+ f2gF) in which (F, gF) is Ricci flat. Using the framework of monotone formulas, we derive several estimates for the adapted heat conjugate fundamental solution which include an analog of Perelman’s differential Harnack inequality (The entropy formula for the Ricci flow and its geometric applications, 2002).
AB - In this paper, we study the Ricci flow on a closed manifold equipped with a warped product metric (N× F, gN+ f2gF) in which (F, gF) is Ricci flat. Using the framework of monotone formulas, we derive several estimates for the adapted heat conjugate fundamental solution which include an analog of Perelman’s differential Harnack inequality (The entropy formula for the Ricci flow and its geometric applications, 2002).
KW - Harnack estimates
KW - Ricci flow
KW - Warped product
UR - http://www.scopus.com/inward/record.url?scp=84926610781&partnerID=8YFLogxK
U2 - 10.1007/s12220-015-9610-x
DO - 10.1007/s12220-015-9610-x
M3 - Article
AN - SCOPUS:84926610781
VL - 26
SP - 1838
EP - 1862
JO - Journal of Geometric Analysis
JF - Journal of Geometric Analysis
SN - 1050-6926
IS - 3
ER -