1 |
T. Aubin, Nonlinear Analysis on Manifolds. Monge-Ampre equations, Springer, New York, 1982.
|
2 |
E. Calabi, An extension of E. Hopf s maximum principle with an application to Riemannian geometry, Duke Math. J.,25(1)(1958), 45-56.
DOI
|
3 |
B. Chow and D. Knopf, The Ricci flow; An introduction, Mathematical survey and monographs, vol. 110, AMS, New York, 2004.
|
4 |
R. S. Hamilton,The Harnack estimate for the Ricci flow, J. Differ. Geom., 37(1)(1993), 225-243.
DOI
|
5 |
S. P. Liu, Gradient estimates for solutions of the heat equation under Ricci flow, Pacific J. Math., 243(1)(2009), 165-180.
DOI
|
6 |
J. Sun, Gradient estimates for positive solutions of the heat equation under geometric flow, Pacific J. Math., 253(2)(2011), 489-510.
DOI
|
7 |
J. Y. Wu, Gradient estimates for a nonlinear parabolic equation and Liouville theorems, Manuscripta mathematica, 159(3-4)(2019),511-547.
DOI
|
8 |
S. Kuang and Q. S. Zhang,A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow, J. Funct. Anal., 255(4)(2008), 1008-1023.
DOI
|
9 |
G. Perelman, The entropy formula for the Ricci flow and its geometric applications, arXiv: math/0211159, 2002.
|
10 |
P. Li and S. T. Yau, On the parabolic kernel of the Schrodinger operator, Acta Math., 156(3-4)(1986), 153-201.
DOI
|