零流形在任意指标半黎曼空间形式中的等距浸入

IF 0.4 Q4 MATHEMATICS International Electronic Journal of Geometry Pub Date : 2023-04-25 DOI:10.36890/iejg.1274307
Carlos Avi̇la, Matias Navarro, O. Palmas, D. Solis
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引用次数: 0

摘要

零流形是具有退化度量张量g的可微流形M。本文给出了零流形作为超曲面等边浸入具有常截面曲率c和指标q的简单连通半黎曼流形的充分条件
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On Isometric Immersions of Null Manifolds into Semi-Riemannian Space Forms of Arbitrary Index
A null manifold is a differentiable manifold M endowed with a degenerate metric tensor g. In this work we provide sufficient conditions for a null manifold to be isometrically immersed as a hypersurface into a simple connected semi-Riemannian manifold of constant sectional curvature c and index q
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CiteScore
0.80
自引率
14.30%
发文量
32
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