Evolution of the Yamabe Constant Under Bernhard List's Flow

被引:2
作者
Pip, F. Daneshvar [1 ]
Razavi, A. [1 ]
机构
[1] Shahid Bahonar Univ Kerman, Dept Math & Comp Sci, Kerman, Iran
关键词
Bernhard List's flow; Yamabe constant; maximum principle; SCALAR CURVATURE; RICCI FLOW;
D O I
10.1134/S003744661706009X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let g(t) be a solution of Bernhard List's flow on a closed manifold. We obtain a pointwise control on the volume of g(t). Then under an essential assumption, we achieve a formula for the evolution of the Yamabe constant Y(g(t)) when g(t) is evolving by Bernhard List's flow.
引用
收藏
页码:1004 / 1011
页数:8
相关论文
共 11 条
[1]  
[Anonymous], 1968, Ann. Scuola Norm. Sup. Pisa (3)
[2]  
AUBIN T, 1976, J MATH PURE APPL, V55, P269
[3]  
Aubin T., 1998, Springer Monographs in Mathematics
[4]   Evolution of Yamabe constant under Ricci flow [J].
Chang, Shu-Cheng ;
Lu, Peng .
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2007, 31 (02) :147-153
[5]  
Chow B., 2004, Am. Math. Soc.
[6]  
DETURCK DM, 1983, J DIFFER GEOM, V18, P157
[7]  
Koiso N., 1979, Osaka Math. J, V16, P423
[8]   THE YAMABE PROBLEM [J].
LEE, JM ;
PARKER, TH .
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1987, 17 (01) :37-91
[9]  
List B, 2008, COMMUN ANAL GEOM, V16, P1007
[10]  
List Bernhard, 2006, Ph.D. thesis