Accès ouvert

On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow

Article scientifique 2020 Anglais

Résumé

Abstract This paper studies the behaviour of the spectrum of the weightedp-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow. It is further shown that the same divergence result holds on gradient shrinking and steady almost Ricci-harmonic solitons under the condition that the soliton function is nonnegative and superharmonic. We also continue the program in (Abolarinwa, Adebimpe and Bakare in J. Ineq. Appl. 2019:10, 2019) to the case of volume-preserving Ricci-harmonic flow.

Citer ce document

Abolarinwa, A., Edeki, S., Ehigie, J. (2020). On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow. https://doi.org/10.1186/s13660-020-02322-y

Accès au document

Voir sur le dépôt source

Ce document est hébergé sur son dépôt institutionnel d'origine.

Auteur(s)

Abimbola Abolarinwa S. O. Edeki Julius O. Ehigie

Statistiques

Consultations : 1

Téléchargements : 0