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http://dx.doi.org/10.4134/JKMS.2009.46.6.1193

STABILITY OF RICCI FLOWS BASED ON KILLING CONDITIONS  

Zhao, Peibiao (DEPARTMENT OF APPLIED MATHEMATICS NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY)
Cai, Qihui (DEPARTMENT OF APPLIED MATHEMATICS NANJING UNIVERSITY OF SCIENCE AND TECHNOLOGY)
Publication Information
Journal of the Korean Mathematical Society / v.46, no.6, 2009 , pp. 1193-1206 More about this Journal
Abstract
C. Guenther studied the stability of DeTurck flows by using maximal regularity theory and center manifolds, but these arguments can not solve the stability of Ricci flows because the Ricci flow equation is not strictly parabolic. Recognizing this deficiency, the present paper considers and obtains the stability of Ricci flows, and of quasi-Ricci flows in view of some Killing conditions.
Keywords
Ricci flows; quasi-Ricci flows; DeTurck flows; Killing conditions;
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