Eigenvalues of Geometric Operators Under the List's Flow

Authors

  • Bingqing Ma Department of Mathematics, Henan Normal University, Xinxiang 453007

DOI:

https://doi.org/10.26713/cma.v4i2.168

Keywords:

Eigenvalue, List's flow, Normalized List's flow

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 $-\Delta+\frac{1}{2}S$.

Downloads

Downloads

CITATION

How to Cite

Ma, B. (2013). Eigenvalues of Geometric Operators Under the List’s Flow. Communications in Mathematics and Applications, 4(2), 127–135. https://doi.org/10.26713/cma.v4i2.168

Issue

Vol. 4 No. 2 (2013)

Section

Research Article

License

Creative Commons Licence 4.0 by  

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.