指标2的非平坦半黎曼空间形式的拟极小等距浸入

Q4 Mathematics

Geometry, Integrability and Quantization Pub Date : 2019-01-01 DOI:10.7546/GIQ-20-2019-255-265

N. Turgay, Alev Kelleci, R. Şen, E. O. Canfes

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引用次数: 0

摘要

在本文中，我们首先总结了双保守浸没法的最新研究结果。然后，我们得到了具有非零截面曲率的指标2的四维半黎曼空间形式存在双保守拟极小浸入的充分必要条件。我们还构造了一个双保守拟极小曲面的显式例子。MSC: 53d12, 53c40, 53c42

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On Quasi-Minimal Isometric Immersions into Non-Flat Semi Riemannian Space Forms of Index Two

In this paper, first we gave a summary of recent results on biconservative immersions. Then, we obtained a necessary and sufficient condition for the existence of biconservative quasi-minimal immersions into a four dimensional semi-Riemannian space form of index two with non-zero sectional curvatures. We also constructed an explicit example of biconservative quasiminimal surface. MSC : 53D12, 53C40, 53C42

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来源期刊

Geometry, Integrability and Quantization Mathematics-Mathematical Physics

CiteScore

0.70

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0.00%

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