Local Curvature Bound in Ricci Flow
نویسنده
چکیده
Theorem 2 Given n and v0 > 0, there exists ǫ0 > 0 depending only on n and v0 which has the following property. For any r0 > 0 and ǫ ∈ (0, ǫ0] suppose (Mn, g(t)) is a complete smooth solution to the Ricci flow on [0, (ǫr0) 2] with bounded sectional curvature, and assume that at t = 0 for some x0 ∈ M we have curvature bound |Rm |(x, 0) ≤ r 0 for all x ∈ Bg(0)(x0, r0), and volume lower bound Volg(0) (
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تاریخ انتشار 2009