EIGENVALUES VARIATION OF THE P-LAPLACIAN UNDER THE RICCI FLOW ON SM

Shahroud Azami


Abstract


Let (M,F) be a compact Finsler manifold. Studying the eigenvalues and eigenfunctions for the linear and nonlinear geometric operators is a known problem. In this paper we will consider the eigenvalue problem for the p-laplace operator for Sasakian metric acting on the space of functions on SM. We find the first variation formula for the eigenvalues of p-Laplacian on SM evolving by the Ricci flow on M and give some examples.

DOI : http://dx.doi.org/10.22342/jims.22.2.215.157-177


Keywords


Ricci flow, Finsler manifold, p-Laplace operator

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p-ISSN:2086-8952e-ISSN:2460-0245