洛伦兹空间中黎曼空间的c1等距嵌入

IF 0.7 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2025-06-25 DOI:10.1016/j.difgeo.2025.102266

Alaa Boukholkhal

引用次数: 0

摘要

对于任意紧黎曼流形（V,g）和任意洛伦兹流形（W,h），证明了任意长（g≤f h）的类空间嵌入f:V→W可以被C1等距嵌入f: （V,g）→（W,h） c0逼近。

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C1-isometric embeddings of Riemannian spaces in Lorentzian spaces

For any compact Riemannian manifold

(V, g)

and any Lorentzian manifold

(W, h)

, we prove that any spacelike embedding

f : V \to W

that is long (

g \leq f^{⁎} h

) can be

C^{0}

-approximated by a

C^{1}

isometric embedding

F : (V, g) \to (W, h)

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.