Geodesic
Evolution of Eigenvalues along Rescaled Ricci Flow
Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 127-135

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In this paper, we discuss monotonicity formulae of various entropy functionals under various rescaled versions of Ricci flow. As an application, we prove that the lowest eigenvalue of a family of geometric operators $-4\Delta \,+\,kR$ is monotonic along the normalized Ricci flow for all $k\,\ge \,1$ provided the initial manifold has nonpositive total scalar curvature.
DOI : 10.4153/CMB-2011-162-6
Mots-clés : 58C40, 53C44, monotonicity formulas, Ricci flow 
Li, Junfang. Evolution of Eigenvalues along Rescaled Ricci Flow. Canadian mathematical bulletin, Tome 56 (2013) no. 1, pp. 127-135. doi: 10.4153/CMB-2011-162-6
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     author = {Li, Junfang},
     title = {Evolution of {Eigenvalues} along {Rescaled} {Ricci} {Flow}},
     journal = {Canadian mathematical bulletin},
     pages = {127--135},
     year = {2013},
     volume = {56},
     number = {1},
     doi = {10.4153/CMB-2011-162-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2011-162-6/}
}
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