Some Results on Exponential Harmonic Maps with Potential
کد مقاله : 1052-SHAA
نویسندگان
سید مهدی کاظمی تربقان *1، کیوان صالحی2
1گروه ریاضی، دانشکده علوم پایه، دانشگاه بجنورد، بجنورد ، ایران
2Central of theoretical physic and chemistry (ctcp), Massey university, Auckland, Newzealand
چکیده مقاله
In this work, the exponential harmonic maps with potential from a compact Riemannian manifold to a Riemannian manifold with negative Ricci curvature are investigated. In this regard, the variational formulas for exponential energy functional with poential are calculated. Then the existence of exponential harmonic maps with potential from a Riemannian manifold to a Riemannian manifold admitting a conformal vector field or strictly convex function is studied.
کلیدواژه ها
Exponential harmonic maps, Stability, Calculus of variations
وضعیت: پذیرفته شده برای ارائه شفاهی