On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow
| dc.creator | Abolarinwa, A., Edeki, S.O., Ehigie, J. O | |
| dc.date | 2020 | |
| dc.date.accessioned | 2025-04-04T20:30:53Z | |
| dc.description | This paper studies the behaviour of the spectrum of the weighted p-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. | |
| dc.format | application/pdf | |
| dc.identifier | http://eprints.covenantuniversity.edu.ng/15894/ | |
| dc.identifier.uri | https://repository.covenantuniversity.edu.ng/handle/123456789/45839 | |
| dc.language | en | |
| dc.publisher | Springer | |
| dc.subject | QA Mathematics | |
| dc.title | On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow | |
| dc.type | Article |
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