Nonstationary weak limit of a stationary harmonic map sequence | Zendy

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Nonstationary weak limit of a stationary harmonic map sequence

Author(s) -

Ding Weiyue,

Li Jiayu,

Li Wei

Publication year - 2003

Publication title -

communications on pure and applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.12

H-Index - 115

eISSN - 1097-0312

pISSN - 0010-3640

DOI - 10.1002/cpa.10058

Subject(s) - harmonic map , mathematics , limit (mathematics) , sequence (biology) , bounded function , harmonic , stationary sequence , continuous map , mathematical analysis , pure mathematics , combinatorics , physics , quantum mechanics , stochastic process , statistics , genetics , biology

Let M and N be two compact Riemannian manifolds. Let u k be a sequence of stationary harmonic maps from M to N with bounded energies. We may assume that it converges weakly to a weakly harmonic map u in H 1,2 ( M , N ) as k → ∞. In this paper, we construct an example to show that the limit map u may not be stationary. © 2002 Wiley Periodicals, Inc.

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