Optimal transportation and monotonic quantities on evolving manifolds
نویسندگان
چکیده
منابع مشابه
Optimal Transportation and Monotonic Quantities on Evolving Manifolds
In this note we will adapt Topping’s L-optimal transportation theory for Ricci flow to a more general situation, i.e. to a closed manifold (M, gij(t)) evolving by ∂tgij = −2Sij , where Sij is a symmetric tensor field of (2,0)-type on M . We extend some recent results of Topping, Lott and Brendle, generalize the monotonicity of List’s (and hence also of Perelman’s) W-entropy, and recover the mon...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2010
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2010.248.305