Results 1 to 10 of about 1,153 (186)
A Comprehensive Survey on Parallel Submanifolds in Riemannian and Pseudo-Riemannian Manifolds
Axioms, 2019 A submanifold of a Riemannian manifold is called a parallel submanifold if its second fundamental form is parallel with respect to the van der Waerden−Bortolotti connection.
Bang-Yen Chen
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Mathematics, 2021 The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.
Hülya Aytimur +2 more
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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds
Abstract and Applied Analysis, 2012 We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
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Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds
Arab Journal of Mathematical Sciences, 2014 In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar +3 more
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Pseudo-Isotropic Centro-Affine Lorentzian Surfaces
Mathematics, 2020 In this paper, we study centro-affine Lorentzian surfaces M2 in ℝ3 which have pseudo-isotropic or lightlike pseudo-isotropic difference tensor. We first show that M2 is pseudo-isotropic if and only if the Tchebychev form T=0.
Olivier Birembaux
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The Geometry of Invariant Submanifolds of a (κ,μ)-Paracontact Metric Manifold
International Journal of Pioneering Technology and Engineering, 2022 In this article, we consider an invariant submanifold of a -paracontact metric manifold. We research the conditions and for an invariant submanifold of a paracontact metric manifold.
Pakize Uygun +3 more
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Warped product semi-slant submanifolds in locally conformal Kaehler manifolds II
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 In 1994 N.~Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of $CR$- and slant-submanifolds, \cite{MR0353212}, \cite{MR760392}.
Koji Matsumoto
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Totally umbilical proper slant submanifolds of para-Kenmotsu manifold
Cubo, 2019 In this paper, we study slant submanifolds of a para-Kenmotsu manifold. We prove that totally umbilical slant submanifold of a para-Kenmotsu manifold is either invariant or anti-invariant or dimension of submanifold is 1 or the mean curvature vector H of
M.S. Siddesha, C.S. Bagewadi, D. Nirmala
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On Chasles' Property of the Helicoid in Tri-Twisted Real Ambient Space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 An elementary property of the helicoid is that at every point of the surface the following condition holds: cot θ = C · d; where d is the distance between an arbitrary point to the helicoid axis, and θ is the angle between the normal and the helicoid’s ...
Ho Peter T. +2 more
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On six-dimensional AH-submanifolds of class W1⊕W2⊕W4 in Cayley algebra
Дифференциальная геометрия многообразий фигур, 2020 Six-dimensional submanifolds of Cayley algebra equipped with an almost Hermitian structure of class W1 W2 W4 defined by means of three-fold vector cross products are considered.
G. A. Banaru
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