Results 61 to 70 of about 18,512 (114)
A new approach to totally umbilical null submanifolds
Novi Sad Journal of Mathematics, 2017 Summary: In this paper, we study totally umbilical \(r\)-null submanifolds, with \(r\ge1\), of a semi-Riemannian manifold using new objects called generalized Newton transformations. We prove that the results presented here are umbrella of the well-known results for totally umbilical null hypersurfaces, totally umbilical half-null submanifolds and ...
Massamba, Fortuné, Ssekajja, Samuel
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On totally umbilical submanifolds of conformally birecurrent manifolds [PDF]
Colloquium Mathematicum, 1988 Let M be a pseudo-Riemannian manifold. M is called conformally birecurrent if its (0,4)-Weyl conformal curvature tensor C satisfies \[ C_{r_ 1r_ 2r_ 3r_ 4,vw}C_{s_ 1s_ 2s_ 3s_ 4}=C_{s_ 1s_ 2s_ 3s_ 4,vw}C_{r_ 1r_ 2r_ 3r_ 4,} \] where the comma denotes the covariant differentiation with respect to the metric of M.
Deszcz, Ryszard +2 more
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A note on a totally umbilical proper slant submanifold of a nearly Kaehler manifold
Kuwait Journal of Science, 2013 In this paper, we study totally umbilical proper slant submanifolds of a nearly Kaehler manifold. We prove that every totally umbilical proper slant submanifold of a nearly Kaehler manifold is totally geodesic.
KHUSHWANT SINGH +2 more
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Totally umbilical submanifolds of quaternion-space-forms [PDF]
Journal of the Australian Mathematical Society, 1978 AbstractTotally umbilical submanifolds of dimension greater than four in quaternion-space-forms are completely classified.
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MathematicsIn this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi +3 more
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AxiomsThis paper introduces the notion of screen generic lightlike submanifolds (SGLSs) of an indefinite Kaehler statistical manifold equipped with a quarter-symmetric non-metric (QSNM) connection, supported by suitable illustrations.
Vandana Gupta +3 more
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On totally umbilical submanifolds in nearly Kählerian manifolds [PDF]
Annales Polonici Mathematici, 1989 The author studies various properties of totally umbilic generic or CR- submanifolds of a Kaehler or nearly Kaehler manifold.
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TOTALLY UMBILICAL SUBMANIFOLDS OF A COMPLEX SPACE FORM
Tamkang Journal of Mathematics, 1991 TOTALLY UMBILICAL SUBMANIFOLDS OF A COMPLEX SPACE FORM
SHAHID ALI, VIQAR AZAM KHAN
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On totally umbilic submanifolds of semi-Riemannian manifolds
Nonlinear Analysis: Theory, Methods & Applications, 2005 The notion of being totally umbilic is considered for non-degenerate and degenerate submanifolds of semi-Riemanian manifolds. After some remarks on the general case, timelike and lightlike totally umbilic submanifolds of Lorentzian manifolds are discussed, along with their physical interpretation in view of general relativity.
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A classification of totally F-umbilical submanifolds of an S-manifold
, 2016 In this note a classification theorem for totally f-umbilical submanifolds of an S-space form is obtained.
Cabrerizo Jaraíz, José Luis +2 more
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