Partial regularity of harmonic maps from a Riemannian manifold into a Lorentzian manifold
نویسندگان
چکیده
منابع مشابه
Optimal Regularity of Harmonic Maps from a Riemannian Manifold into a Static Lorentzian Manifold
positive function. In such a case, we write N = N0 ×β R. In this paper we consider the case where N0 is compact. We may assume, by Nash-Moser theorem, N0 is a submanifold of R for some k > 1. By the compactness of N0, there exist constants βmin, βmax > 0 such that βmin ≤ β(x) ≤ βmax for all x ∈ N0. Let M be a Riemannian manifold with non-empty boundary ∂M . For a map w = (u, t) : M → N0 ×β R, w...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 2019
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2019.299.33