An intrinsic approach to manifold constrained variational problems
作者： Matteo Focardi , Emanuele Spadaro
DOI: 10.1007/S10231-011-0216-Z
关键词: Product metric 、 Manifold 、 Mathematical analysis 、 Embedding 、 Euclidean geometry 、 Sobolev space 、 Pure mathematics 、 Mathematics 、 Metric space 、 Sobolev inequality 、 Fisher information metric
摘要: Motivated by some questions in continuum mechanics and analysis metric spaces, we give an intrinsic characterization of sequentially weak lower semicontinuous functionals defined on Sobolev maps with values into manifolds without embedding the target Euclidean spaces.
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