Results 31 to 40 of about 1,004 (83)
An Inequality on Quaternionic CR-Submanifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 We establish an inequality for an intrinsic invariant of Chen-type defined on quaternionic CR-submanifolds in quaternionic space forms, in terms of the squared mean curvature, the main extrinsic invariant, by using the method of constrained extrema.
Macsim Gabriel, Mihai Adela
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Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]
Arab Journal of Mathematical SciencesPurposeThe screen Cauchy–Riemann (SCR)-lightlike submanifold is an important class of submanifolds of semi-Riemannian manifolds. It contains various other classes of submanifolds as its sub-cases. It has been studied under various ambient space.
Gauree Shanker +2 more
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Characterizations of Euclidean Spheres in Terms of the Tangential Part of the Position Vector Field
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.In this study, we utilize the support function θ and the tangential component ψT of the position vector field ψ to investigate certain properties of spheres on a compact hypersurface in Euclidean space Rn+1. The first characterization expands upon existing results in the literature by removing constraints on the tangential component ψT and employing ...
Mona Bin-Asfour +3 more
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On the Ricci tensor of real hypersurfaces of quaternionic projective space
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 193-197, 1996., 1994 We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
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On the umbilic set of immersed surfaces in three-dimensional space forms
, 2019 We prove that under some assumptions on the mean curvature the set of umbilical points of an immersed surface in a $3$-dimensional space form has positive measure. In case of an immersed sphere our result can be seen as a generalization of the celebrated
Catino, Giovanni +2 more
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Lagrangian geometry of the Gauss images of isoparametric hypersurfaces in spheres
Complex Manifolds, 2019 The Gauss images of isoparametric hypersufaces of the standard sphere Sn+1 provide a rich class of compact minimal Lagrangian submanifolds embedded in the complex hyperquadric Qn(ℂ).
Miyaoka Reiko, Ohnita Yoshihiro
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Minimal CR‐submanifolds of a six‐dimentional sphere
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 63-66, 1995., 1995 We establish several formulas for a 3‐dimensional CR‐submanifold of a six‐dimensional sphere and state some results obtained by making use of them.
M. Hasan Shahid, S. I. Husain
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Oriented 6‐dimensional submanifolds in the octonians, III
International Journal of Mathematics and Mathematical Sciences, Volume 18, Issue 1, Page 111-120, 1995., 1993 In this paper, we classify 6‐dimensional almost Hermitian submanifolds in the octonians 𝕆 according to the classification introduced by A. Gray and L. Hervella. We give new examples of quasi‐Käthler and ∗‐Einstein submanifolds in 𝕆. Also, we prove that a 6‐dimensional weakly ∗‐Einstein Hermitian submanifold in 𝕆 is totally geodesic.
Hideya Hashimoto
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Warped Product Semi-Slant Submanifolds of a Sasakian Manifold [PDF]
, 2008 2000 Mathematics Subject Classification: 53C40, 53C25.In the present note, it is proved that there donot exist warped product semi-slant submanifolds in a Sasakian manifold other than contact CR-warped product submanifolds and thus the results obtained ...
Al-Solamy, Falleh R., Khan, Viqar Azam
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Stable hypersurfaces with zero scalar curvature in Euclidean space
, 2016 In this paper we prove some results concerning stability of hypersurfaces in the four dimensional Euclidean space with zero scalar curvature. First we prove there is no complete stable hypersurface with zero scalar curvature, polynomial growth of ...
Alencar, Hilário +2 more
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