Ricci Flow on Surfaces with Degenerate Initial Metrics

Ricci Flow on Surfaces with Degenerate Initial Metrics

Year:    2007

Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 3 : pp. 193–202

Abstract

It is proved that given a conformal metric e^{u0}g_0, with e^{u0} ∈ L∞, on a 2-dim closed Riemannian manfold (M, g_0), there exists a unique smooth solution u(t) of the Ricci flow such that u(t) → u_0 in L² as t → 0.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-JPDE-5302

Journal of Partial Differential Equations, Vol. 20 (2007), Iss. 3 : pp. 193–202

Published online:    2007-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Ricci flows