The Stability Problem of Certain Anti-Invariant Submanifolds in Golden Riemannian Manifolds [PDF]
International Electronic Journal of Geometry, 2023 In this study, we discuss the stability of some anti-invariant submanifolds of golden Riemannian manifolds under certain conditions in terms of the Ricci curvature tensors of the ambient manifold and the submanifold.
Mustafa Gök, Erol Kılıç
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Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds [PDF]
Karpatsʹkì Matematičnì Publìkacìï, 2018 In the present paper, we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
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A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds [PDF]
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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Pseudoparallel anti-invariant submanifolds of kenmotsu manifolds [PDF]
, 2010 We consider an anti-invariant, minimal, pseudoparallel and Ricci-generalized pseudoparallel submanifold M of a Kenmotsu space form (M) over tilde (c), for which xi is tangent to M.
Sular, Sibel +2 more
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On Totally Contact Umbilical Contact CR-Lightlike Submanifolds Of Indefinite Sasakian Manifolds [PDF]
Demonstratio Mathematica, 2014 After brief introduction, we prove that a totally contact umbilical CR- lightlike submanifold is totally contact geodesic. We obtain a necessary and sufficient condition for a CR-lightlike submanifold to be an anti-invariant submanifold.
Gogna Manish +2 more
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Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds [PDF]
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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Characterizations for an invariant submanifold of an almost α-Cosymplectic (κ, µ, ν)-space to be totally geodesic [PDF]
, 2022 The aim of the present paper is to study some geometric conditions for an invariant submanifold of an almost α-cosymplectic (κ, µ, ν)-space to be totally geodesic by means of the curvature ...
Atçeken, Mehmet
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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 generic submanifold of Sasakian manifold with concurrent vector field [PDF]
, 2019 In the present paper, we deal with the generic submanifold admitting a Ricci soliton in Sasakian manifold endowed with concurrent vector field. Here, we find that there exists never any concurrent vector field on the invariant distribution D of generic ...
Halil ibrahim Yoldaş +5 more
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ON AN INVARIANT SUBMANIFOLD OF HYPERBOLIC SASAKIAN MANIFOLDS [PDF]
, 2017 The object of the present paper is to study an invariant submanifold of hyperbolic Sasakian maifolds. In this paper, we consider semiparallel and 2-semiparallel invariant submanifolds of hyperbolic Sasakian manifold and it is shown that these ...
Pandey, Shravan Kumar +3 more
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