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biharmonic hypersurfaces in the standard lorentz 5-pseudosphere
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نویسنده
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haghighatdoos ghorbanali ,hoseinpour sara ,pashaie firooz ,shahbaz leila
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منبع
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journal of mahani mathematical research - 2025 - دوره : 14 - شماره : 2 - صفحه:203 -219
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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) $s^5_1$ 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 $s^5_1$. we present an affirmative answer to the extended conjecture on lorentz hypersurfaces with three distinct principal curvatures.
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کلیدواژه
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c-biharmonic ,isoparametric ,de-sitter space ,1-minimal
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آدرس
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azarbaijan shahid madani university, faculty of sciences, department of mathematics, iran, azarbaijan shahid madani university, faculty of sciences, department of mathematics, iran, university of maragheh, faculty of basic sciences, department of mathematics, iran, university of maragheh, faculty of basic sciences, department of mathematics, iran
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پست الکترونیکی
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leilashahbaz@yahoo.com
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Authors
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