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عنوان
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On biconservative constant scalar curvature hypersurfaces in Lorentz-Minkowski 6-space
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نوع پژوهش
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مقاله ارائه شده کنفرانسی
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کلیدواژهها
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Biconservative, maximal, isoparametric, second mean curvature.
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چکیده
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In this talk paper, we consider a physical and mathematical concept, namely the biconservative hypersurfaces. Let ψ ∶ M5 → L6 be a spacelike hypersurface in the Lorentz-Minkowski space L6. By definition, Mm is said to be biconservative if the tangent component of the vector field 2ψ is identically zero. This subject is arisen from a well-known conjecture due to Bang-Yen Chen which claims that the only biharmonic submanifolds in the Euclidean spaces are minimal ones. We consider an extended version of biconservativity condition on spacelike hypersurfaces of 6-dimensional Lorentz-Minkowski space with two or three distinct principal curvatures and constant mean curvature.
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پژوهشگران
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فیروز پاشایی (نفر اول)، سارا حسین پور (نفر دوم)، قربانعلی حقیقت دوست (نفر سوم)، لیلا شهباز (نفر چهارم)
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