Monotonicity for p-harmonic vector bundle-valued k-forms

Autor:	Afuni, Ahmad
Rok vydání:	2015
Předmět:	Mathematics - Differential Geometry Mathematical Physics Mathematics - Analysis of PDEs 35B45 35B53 53C07 58E15 58E20 70S10
Druh dokumentu:	Working Paper
Popis:	We investigate monotonicity properties of $p$-harmonic vector bundle-valued $k$-forms by studying the energy-momentum tensor associated with such a form. As a consequence, we obtain a unified proof of the monotonicity formul{\ae} for $p$-harmonic maps and Yang-Mills connections, proving a monotonicity formula for $p$-Yang-Mills connections in the process. Moreover, it is shown how this technique may be adapted to yield an analogous monotonicity formula for Yang-Mills-Higgs pairs. Finally, we obtain Liouville-type theorems for such forms and Yang-Mills-Higgs pairs as an application. Comment: 14 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1506.03439 Zobrazit plný text záznamu View this record from Arxiv