Results 51 to 60 of about 126 (113)
Spectral characterization and Schrödinger operator of space-like submanifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper, we would like to study space-like submanifolds in a de Sitter spaces Spn+p(1). We define and discuss three Schrödinger operators LH, LR, LR/H and obtain some spectral characterizations of totally umbilical space-like submanifolds in terms ...
Shu Shichang, Zhu Tianmin
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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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Geometric Properties of Potent CR-Submanifolds
MathematicsIn this paper, we propose and explore the notion of potent CR-submanifolds (PCRSs) within the framework of almost Hermitian potent manifolds (AHPMs).
Najwa Mohammed Al-Asmari +3 more
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Umbilicity of (Space-Like) Submanifolds of Pseudo-Riemannian Space Forms [PDF]
Journal of Sciences, Islamic Republic of Iran, 2009 We study umbilic (space-like) submanifolds of pseudo-Riemannian space forms, then define totally semi-umbilic space-like submanifold of pseudo Euclidean space and relate this notion to umbilicity.
S.M.B. Kashani
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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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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 Proper Slant and Hemislant Submanifolds of an LP‐Cosymplectic Manifold [PDF]
Mathematical Problems in Engineering, 2011 In the present note, we study slant and hemislant submanifolds of an LP‐cosymplectic manifold which are totally umbilical. We prove that every totally umbilical proper slant submanifold M of an LP‐cosymplectic manifold is either totally geodesic or if M is not totally geodesic in then we derive a formula for slant angle of M.
Uddin, Siraj +2 more
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Geometrical Analysis on Submanifolds in Riemannian Manifolds Attached with Silver Structure
AxiomsIn this paper, we analyze a silver Riemannian structure on a Riemannian manifold. We compute some fundamental properties of the induced structure on submanifolds immersed in a silver Riemannian manifold and also obtain some results for induced structures
Shadab Ahmad Khan +4 more
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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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