Results 21 to 30 of about 49 (49)

On real hypersurfaces in quaternionic projective space with 𝒟⊥‐recurrent second fundamental tensor

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 109-117, 1999., 1999
In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with 𝒟⊥‐recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟.
Young Jin Suh, Juan De Dios Pérez
wiley   +1 more source

Totally real submanifolds in a complex projective space

International Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 1, Page 205-208, 1999., 1999
In this paper, we establish the following result: Let M be an n‐dimensional complete totally real minimal submanifold immersed in CPn with Ricci curvature bounded from below. Then either M is totally geodesic or inf r ≤ (3n + 1)(n − 2)/3, where r is the scalar curvature of M.
Liu Ximin
wiley   +1 more source

Real hypersurfaces of type A in quarternionic projective space

International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 1, Page 115-122, 1997., 1995
In this paper, under certain conditions on the orthogonal distribution 𝒟, we give a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
U-Hang Ki, Young Jin Suh, Juan De Dios Pérez   +2 more
wiley   +1 more source

Osculating curves in 4-dimensional semi-Euclidean space with index 2

Open Mathematics, 2017
In this paper, we give the necessary and sufficient conditions for non-null curves with non-null normals in 4-dimensional Semi-Euclidian space with indeks 2 to be osculating curves.
İlarslan Kazim, Kiliç Nihal, Erdem Hatice Altin   +2 more
doaj   +1 more source

Totally real submanifolds of a complex space form

International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 39-44, 1996., 1996
Totally real submanifolds of a complex space form are studied. In particular, totally real submanifolds of a complex number space with parallel mean curvature vector are classified.
U-Hang Ki, Young Ho Kim
wiley   +1 more source

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, Kholoud Saad Albalawi, Mohammed Guediri, Nawab Hussain   +3 more
wiley   +1 more source

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
wiley   +1 more source

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
doaj   +1 more source

Screen Cauchy–Riemann (SCR)-lightlike submanifolds of metallic semi-Riemannian manifolds [PDF]

Arab Journal of Mathematical Sciences
PurposeThe 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, Ankit Yadav, Ramandeep Kaur   +2 more
doaj   +1 more source

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
wiley   +1 more source