Totally geodesic maps into metric spaces
Totally geodesic maps into metric spaces
复制标题
完全测地线映射到度量空间
DOI：
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发表时间：
2003
期刊：
影响因子：
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通讯作者：
Shin
中科院分区：
文献类型：
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作者：
Shin
抽象。证明了黎曼流形与度量空间之间的全测地映射可以表示为黎曼流形到芬斯勒流形的全测地映射与度量空间之间的局部等距嵌入的合成.作为推论，我们得到了从不可约黎曼流形到上有界曲率的Alexandrov空间的全测地映射的相似性。这是黎曼流形之间情况的推广。
数学学科分类（2000年）：53C20、53C22、53C24
Abstract. We prove that a totally geodesic map between a Riemannian manifold and a metric space can be represented as the composite of a totally geodesic map from a Riemannian manifold to a Finslerian manifold and a locally isometric embedding between metric spaces. As a corollary, we obtain the homotheticity of a totally geodesic map from an irreducible Riemannian manifold to an Alexandrov space of curvature bounded above. This is a generalization of the case between Riemannian manifolds.
Mathematics Subject Classification (2000): 53C20, 53C22, 53C24