Mean Curvature Flow in a Ricci Flow Background
نویسندگان
چکیده
منابع مشابه
Mean Curvature Flow in a Ricci Flow Background
Following work of Ecker (Comm Anal Geom 15:1025–1061, 2007), we consider a weighted Gibbons-Hawking-York functional on a Riemannian manifold-withboundary. We compute its variational properties and its time derivative under Perelman’s modified Ricci flow. The answer has a boundary term which involves an extension of Hamilton’s differential Harnack expression for the mean curvature flow in Euclid...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2012
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-012-1503-2