Results 31 to 40 of about 1,284 (79)
Parallel Mean Curvature Surfaces in Symmetric Spaces
, 2011 We present a reduction of codimension theorem for surfaces with parallel mean curvature in symmetric ...
H. Alencar +4 more
core +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 +2 more
wiley +1 more source
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
core +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
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 +2 more
doaj +1 more source
Inequalities on the Ricci curvature
, 2015 We improve Chen-Ricci inequalities for a Lagrangian submanifold Mn of dimension n (n 2) in a 2n -dimensional complex space form ̃ M2n(4c) of constant holomorphic sectional curvature 4c with a semi-symmetric metric connection and a Legendrian submanifold ...
A. Mihai
semanticscholar +1 more source
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
core
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
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