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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.
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참고문헌 (27)
참고문헌 신청
B. Chow / 2004 / The Ricci flow: An introduction, Mathematical Surveys and Monographs / American Mathematical Society, Providence, RI
C. Guenther / 2002 / Stability of the Ricci flow at Ricci-flat metrics / Comm. Anal. Geom. 10 (4) : 741 ~ 777
D. Henry / 1981 / Geometric Theorem of Semilinear Parabolic Equations / Springer Verlag
G. Da Prato / 1988 / Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space / Arch. Rational Mech. Anal. 101 (2
G. Dore / 1987 / On the equivalence of certain interpolation methods / Boll. Un. Mat. Ital. B 1 (4) : 1127 ~ 1238
C. Guenther / 2002 / Stability of the Ricci flow at Ricci-flat metrics / Comm. Anal. Geom. 10 (4) : 741 ~ 777
D. Henry / 1981 / Geometric Theorem of Semilinear Parabolic Equations / Springer Verlag
G. Da Prato / 1988 / Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space / Arch. Rational Mech. Anal. 101 (2
G. Dore / 1987 / On the equivalence of certain interpolation methods / Boll. Un. Mat. Ital. B 1 (4) : 1127 ~ 1238
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