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Semi-Riemannian submersions with totally umbilic fibres [PDF]
Rendiconti del Circolo Matematico di Palermo, 2002 19 ...
Gabriel Bădiţoiu, Stere Ianuş
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NOTES ON MANIFOLDS ADMITTING TOTALLY UMBILICAL HYPERSURFACES [PDF]
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.
Ryszard Deszcz +1 more
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Planar pseudo-geodesics and totally umbilic submanifolds
The Journal of Geometric Analysis, 2021 AbstractWe study totally umbilic isometric immersions between Riemannian manifolds. First, we provide a novel characterization of the totally umbilic isometric immersions with parallel normalized mean curvature vector, i.e., those having nonzero mean curvature vector and such that the unit vector in the direction of the mean curvature vector is ...
Steen Markvorsen, M Raffaelli
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Totally Umbilical Hemi-Slant Submanifolds of Kaehler Manifolds [PDF]
Abstract and Applied Analysis, 2011 We study totally umbilical hemi-slant submanifolds of a Kaehler manifold via curvature tensor. We prove some classification theorems for totally umbilical hemi-slant submanifolds of a Kaehler manifold and give an example.
Falleh R. Al-Solamy +2 more
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Totally Contact Umbilical Lightlike Hypersurfaces of Indefinite -Manifolds [PDF]
Journal of Mathematics, 2013 We study totally contact umbilical lightlike hypersurfaces of indefinite -manifolds and prove the nonexistence of totally contact umbilical lightlike hypersurface in indefinite -space form.
Rachna Rani, Rakesh Kumar, R. K. Nagaich
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On totally umbilical CR-submanifolds of a Kaehler manifold [PDF]
International Journal of Mathematics and Mathematical Sciences, 1993 Let M be a compact 3-dimensional totally umbilical CR-submanifold of a Kaehler manifold of positive holomorphic sectional curvature. We prove that if the length of the mean curvature vector of M does not vanish, then M is either diffeomorphic to S3 or ...
M. A. Bashir
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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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Killing initial data on totally umbilical & compact hypersurfaces [PDF]
Journal of Geometry and Physics, 2009 20 pages, submitted january ...
Daniel Maerten
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Totally umbilical CR-submanifolds of Semi-Riemannian Kaehler manifolds [PDF]
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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Totally umbilic Riemannian foliations. [PDF]
Michigan Mathematical Journal, 1990 Grant Cairns
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