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NOTES ON MANIFOLDS ADMITTING TOTALLY UMBILICAL HYPERSURFACES
Demonstratio Mathematica, 1987 Let N be either a conformally recurrent manifold [see \textit{T. Adati} and \textit{T. Miyazawa}, Tensor, New Ser. 18, 335-342 (1967; Zbl 0152.391)] or a conformally birecurrent manifold [see \textit{C. D. Collinson} and \textit{F. Söler} [ibid. 27, 37-40 (1973; Zbl 0251.53039)], i.e.
Deszcz, Ryszard +1 more
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A note on η-quasi-umbilical hypersurfaces in almost Hermitian manifolds
Дифференциальная геометрия многообразий фигур, 2023 In the present note, we consider the introduced by Lidia Vasil’evna Stepanova notion of an -quasi-umbilical hypersurface in an almost Hermitian manifold.
M. B. Banaru
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A classification of totally geodesic and totally umbilical Legendrian submanifolds of $$(\kappa ,\mu )$$ ( κ , μ ) -spaces [PDF]
Annals of Global Analysis and Geometry, 2018 We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of $(κ,μ)$-spaces with Boeckx invariant $I \leq -1$. In particular, we prove that such submanifolds must be, up to local isometries, among the examples that we explicitly construct.
Alfonso Carriazo +2 more
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Semi-riemannian submersions with totally umbilic fibres
Rendiconti del Circolo Matematico di Palermo, 2002 19 ...
Ianuş, Stere, Badiţoiu, Gabriel
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On the umbilicity of linear Weingarten spacelike submanifolds immersed in the de Sitter space
Bulletin of Mathematical Sciences, 2022 We investigate the umbilicity of n-dimensional complete linear Weingarten spacelike submanifolds immersed with parallel normalized mean curvature vector field in the de Sitter space [Formula: see text] of index [Formula: see text].
Weiller F. C. Barboza +3 more
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Characteristic Lightlike Submanifolds of an Indefinite S-Manifold
International Journal of Mathematics and Mathematical Sciences, 2011 We study characteristic r-lightlike submanifolds M tangent to the characteristic vector fields in an indefinite metric S-manifold, and we also discuss the existence of characteristic lightlike submanifolds of an indefinite S-space form under suitable ...
Jae Won Lee
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Concurrent Vector Fields on Lightlike Hypersurfaces
Mathematics, 2020 Concurrent vector fields lying on lightlike hypersurfaces of a Lorentzian manifold are investigated. Obtained results dealing with concurrent vector fields are discussed for totally umbilical lightlike hypersurfaces and totally geodesic lightlike ...
Erol Kılıç +2 more
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TOTALLY UMBILICAL CR-SUBMANIFOLDS OF A KAEHLER MANIFOLD
Tamkang Journal of Mathematics, 1993 In the present paper we study totally umbilical CR-submanifolds of a Kaehler manifold. A classification theorem for a $D^\perp$-totally umbilical CR-submanifold is proved. The conditions under which a CR- submanifold becomes a CR-product are obtained, and finally a theorem for a CR-submanifold to be a proper CR-product is also ...
Khursheed Haider, S. M. +2 more
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Дифференциальная геометрия многообразий фигур, 2022 Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered.
G.A. Banaru
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Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds
International Journal of Mathematics and Mathematical Sciences, 1987 We study totally umbilical CR-submanifolds of a Kaehler manifold carrying a semi-Riemannian metric. It is shown that for dimension of the totally real distribution greater than one, these submanifolds are locally decomposable into a complex and a totally
K. L. Duggal, R. Sharma
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