Harmonic Maps with Prescribed Singularities on Unbounded Domains
نویسندگان
چکیده
منابع مشابه
Harmonic Maps with Prescribed Singularities on Unbounded Domains
The Einstein/Abelian-Yang-Mills Equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities φ : R \Σ → H C into the (k+1)-dimensional complex hyperbolic space. In this paper, we prove the existence and uniqueness of harmonic maps with prescribed singularities φ : R \ Σ → H, where Σ is an unbounded smooth closed submanifold of R of codimension at...
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Let (M, g) be a classical Riemannian globally symmetric space of rank one and non-compact type. We prove the existence and uniqueness of solutions to the Dirichlet problem for harmonic maps into (M, g) with prescribed singularities along a closed submanifold of the domain. This generalizes our previous work where such maps into the hyperbolic plane were constructed. This problem, in the case wh...
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ژورنال
عنوان ژورنال: American Journal of Mathematics
سال: 1996
ISSN: 1080-6377
DOI: 10.1353/ajm.1996.0029