A nonexistence theorem for proper biharmonic maps into general Riemannian manifolds
نویسندگان
چکیده
منابع مشابه
A Short Survey on Biharmonic Maps between Riemannian Manifolds
and the corresponding Euler-Lagrange equation is H = 0, where H is the mean curvature vector field. If φ : (M, g) → (N, h) is a Riemannian immersion, then it is a critical point of the bienergy in C∞(M,N) if and only if it is a minimal immersion [26]. Thus, in order to study minimal immersions one can look at harmonic Riemannian immersions. A natural generalization of harmonic maps and minimal ...
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2020
ISSN: 0393-0440
DOI: 10.1016/j.geomphys.2019.103557