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Asian Journal of Mathematics
Article . 2002 . Peer-reviewed
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A generalization of the Yamabe flow for manifolds with boundary

A generalization of the Yamabe flow for manifolds with boundary.
Authors: Brendle, Simon;

A generalization of the Yamabe flow for manifolds with boundary

Abstract

The author studies two generalizations of the Yamabe problem for manifolds with boundary considering both the scalar curvature and mean curvature. The approach relies on the analysis of the Yamabe flow under appropriate boundary conditions stated in terms of curvature.

Keywords

curvature, Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.), manifold with boundary, Yamabe flow, Methods of global Riemannian geometry, including PDE methods; curvature restrictions, Yamabe problem

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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    37
    popularity
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    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
37
Top 10%
Top 10%
Average
bronze