Remark About Heat Diffusion on Periodic Spaces

dc.creatorLott, John
dc.date1997-07-18
dc.date.accessioned2026-07-07T09:13:15Z
dc.date.available2026-07-07T09:13:15Z
dc.descriptionLet M be a complete Riemannian manifold with a free cocompact Z^k-action. Let k(t,x,y) be the heat kernel on M. We compute the asymptotics of k(t,x,y) in the limit in which t goes to infinity and d(x,y) is comparable to sqrt{t}. We show that in this limit, the heat diffusion is governed by an effective Euclidean metric on R^k coming from the Hodge inner product on H^1(M/Z^k; R).
dc.description7 pages, AMS-Latex
dc.identifierhttps://arxiv.org/abs/dg-ga/9707012
dc.identifierhttp://arxiv.org/abs/dg-ga/9707012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152261
dc.subjectDifferential Geometry
dc.titleRemark About Heat Diffusion on Periodic Spaces
dc.typetext

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