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عنوان
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BIHARMONIC HYPERSURFACES IN THE STANDARD LORENTZ 5-PSEUDOSPHERE
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نوع پژوهش
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مقاله چاپشده در مجلات علمی
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کلیدواژهها
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C-biharmonic, isoparametric, de-Sitter space, 1-minimal
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چکیده
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In this manuscript, we study the Lorentz hypersurfaces of the Lorentz 5-pseudosphere (i.e. the pseudo-Euclidean 5-sphere) S_1^5 having three distinct principal curvatures. A well-known conjecture of Bang-Yen Chen on Euclidean spaces says that every submanifold is minimal. We consider an advanced version of the conjecture on Lorentz hypersurfaces of S_1^5. We present an affirmative answer to the extended conjecture on Lorentz hypersurfaces with three distinct principal curvatures.
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پژوهشگران
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قربانعلی حقیقت دوست (نفر اول)، سارا حسین پور (Sara Hosseinpour) (نفر دوم)، فیروز پاشایی (نفر سوم)، لیلا شهباز (نفر چهارم)
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