ON QUASI-MINIMAL ISOMETRIC IMMERSIONS INTO NON-FLAT SEMI RIEMANNIAN SPACE FORMS OF INDEX TWO

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Inst Biophysics & Biomedical Engineering Bulgarian Acad Sciences

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info:eu-repo/semantics/closedAccess

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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 quasi-minimal surface.

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20th International Conference on Geometry, Integrability and Quantization -- JUN 02-07, 2018 -- Varna, BULGARIA

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Biconservative immersions, biharmonic submanifolds, Lorentzian surfaces, quasi-minimal surfaces, semi-Riemannian space-forms

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Proceedings of The Twentieth International Conference On Geometry, Integrability and Quantization

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