Eigenvalues of Geometric Operators Under the List's Flow

Bingqing Ma

Abstract


We consider the evolution equation of eigenvalues of the operator $-\Delta+cS$ under the (normalized) List's flow. As an application, we derive monotonicity formulas for eigenvalues of $-\Delta+\frac{1}{2}S$.

Keywords


Eigenvalue; List's flow; Normalized List's flow

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DOI: http://dx.doi.org/10.26713%2Fcma.v4i2.168

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eISSN 0975-8607; pISSN 0976-5905