DUAL TIMELIKE NORMAL AND DUAL TIMELIKE SPHERICAL CURVES IN DUAL MINKOWSKI SPACE
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2009 : In this paper, we give characterizations of dual timelike normal and dual timelike spherical curves in the dual Minkowski 3-space and we show that every dual timelike normal curve is also a dual timelike spherical curve.
Mehmet ÖNDER
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Ruled real hypersurfaces in the complex hyperbolic quadric
Demonstratio Mathematica, 2023 In this article, we introduce a new family of real hypersurfaces in the complex hyperbolic quadric Qn∗=SO2,no∕SO2SOn{{Q}^{n}}^{\ast }=S{O}_{2,n}^{o}/S{O}_{2}S{O}_{n}, namely, the ruled real hypersurfaces foliated by complex hypersurfaces.
Lee Hyunjin, Suh Young Jin, Woo Changhwa
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Basic inequalities for statistical submanifolds in Golden-like statistical manifolds
Open Mathematics, 2022 In this paper, we introduce and study Golden-like statistical manifolds. We obtain some basic inequalities for curvature invariants of statistical submanifolds in Golden-like statistical manifolds.
Lone Mohamd Saleem +3 more
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Estimates for eigenvalues of the Neumann and Steklov problems
Advances in Nonlinear Analysis, 2023 We prove Li-Yau-Kröger-type bounds for Neumann-type eigenvalues of the biharmonic operator on bounded domains in a Euclidean space. We also prove sharp estimates for lower order eigenvalues of a biharmonic Steklov problem and of the Laplacian, which ...
Du Feng +4 more
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Classification of f-biharmonic submanifolds in Lorentz space forms
Open Mathematics, 2021 In this paper, f-biharmonic submanifolds with parallel normalized mean curvature vector field in Lorentz space forms are discussed. When ff is a constant, we prove that such submanifolds have parallel mean curvature vector field with the minimal ...
Du Li
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Spacelike Bertrand curves in Minkowski 3-space revisited
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In the geometry of curves in 𝔼3, if the principal normal vector field of a given space curve ϕ with non-zero curvatures is the principal normal vector field of another space curve ϕ*, then the curve ϕ is called a Bertrand curve and ϕ* is called Bertrand ...
Erdem Hatice Altın, İlarslan Kazım
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Translation of: Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques, Mathematische Zeitschrift 45, 335–367 (1939), by Élie Cartan. [PDF]
, 2023 English title: On remarkable families of isoparametric hypersurfaces in spherical spaces This is an English translation of the article Sur des familles remarquables d’hypersurfaces isoparamétriques dans les espaces sphériques, which was originally ...
Cecil, Thomas E.
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Translation of: Sur quelque familles remarquables d’hypersurfaces, C.R. Congrès Math. Liège, 1939, pp. 30–41, by Élie Cartan. [PDF]
, 2023 English title: On some remarkable families of hypersurfaces This is an English translation of the article Sur quelque familles remarquables d’hypersurfaces which was originally published in C.R. Congrès Math. Liège, pp. 30–41 (1939), by Élie Cartan.
Cecil, Thomas E.
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Helices in the n-dimensional Minkowski spacetime
Results in Physics, 2019 In this work, we find position vectors of non-null helices in the n-dimensional Minkowski spacetime. We present methods to generate helices from polynomial curves.
Bulent Altunkaya
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A geometric flow on null hypersurfaces of Lorentzian manifolds
Topological Algebra and its Applications, 2022 We introduce a geometric flow on a screen integrable null hypersurface in terms of its local second fundamental form. We use it to give an alternative proof to the vorticity free Raychaudhuri’s equation for null hypersurface, as well as establishing ...
Massamba Fortuné, Ssekajja Samuel
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