Results 41 to 50 of about 1,215 (136)

Spacelike submanifolds with parallel mean curvature vector in a de Sitter space S q n + p ( c ) $S^{n+p}_{q}(c)$

Journal of Inequalities and Applications, 2020
Spacelike submanifolds usually appear in the study of questions related to causality in general relativity. In this paper, we study an n-dimensional spacelike submanifold in ( n + p ) $(n + p)$ -dimensional connected de Sitter space S q n + p ( c ) $S^{n+
Junfeng Chen, Sanyang Liu, Shichang Shu
doaj   +1 more source

On totally umbilical submanifolds of a locally Minkowski manifold

Collectanea Mathematica, 1992
The complete totally umbilical (c.t.u.) submanifolds (whose induced and intrinsic connections coincide) of Finslerian manifolds are examined. Some results are the following: Any c.t.u. hypersurface \(M^ n\) of a locally Minkowski manifold has diameter \(\leq \pi/ \alpha_ 0\); for \(n=2\), \(M^ 2\) is totally geodesic or \(M^ 2\) is a Finsler space of ...
L. Maria Abatangelo
openalex   +4 more sources

TOTALLY UMBILICAL SEMI-INVARIANT SUBMANIFOLDS AND CR-SUBMANIFOLDS OF A SASAKIAN MANIFOLD

Tamkang Journal of Mathematics, 1993
In the present paper, a classification theorem for totally um- bilical semi-invariant submanifold is established. CR-submanifolds of a Sasakian space form are studied in detail, and finally a theorem for a CR- submanifold of a Sasakian manifold to be a proper contact CR-product is proved.
Khurseed Haider, S. M., Khan, V. A., Husain, S. I.   +2 more
openaire   +3 more sources

Warped Product Pointwise Semi Slant Submanifolds of Sasakian Space Forms and their Applications

Advances in Mathematical Physics, Volume 2020, Issue 1, 2020., 2020
In this study, we attain some existence characterizations for warped product pointwise semi slant submanifolds in the setting of Sasakian space forms. Moreover, we investigate the estimation for the squared norm of the second fundamental form and further discuss the case of equality.
Nadia Alluhaibi, Meraj Ali Khan, Dimitrios Tsimpis   +2 more
wiley   +1 more source

Totally real submanifolds of $(LCS)_n$-Manifolds [PDF]

, 2017
The present paper deals with the study of totally real submanifolds and $\textit{C}$-totally real submanifolds of $(LCS)_n$-manifolds with respect to Levi-Civita connection as well as quarter symmetric metric connection.
Hui, Shyamal Kumar, Pal, Tanumoy
core   +2 more sources

Totally Umbilical Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold

, 2010
Summary: We study totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold. We have obtained a classification theorem for totally umbilical pseudo-slant submanifolds of a nearly cosymplectic manifold.
Meraj Ali Khan, Siraj Uddin, Khushwant Singh   +2 more
  +6 more sources

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
doaj  

Pseudo-Slant submaniolds of nearly δ- Lorentzian trans Sasakian manifolds [PDF]

Journal of Hyperstructures
Our focus is on the existence of certain structures and similarities between pseudo slant submanifolds and nearly δ- Lorentzian trans Sasakian manifolds.
Shamsur Rahman
doaj   +1 more source

The Geometry Of Hemi-Slant Submanifolds of a Locally Product Riemannian Manifold

, 2014
In the present paper, we study hemi-slant submanifolds of a locally product Riemannian manifold. We prove that the anti-invariant distribution which is involved in the definition of hemi-slant submanifold is integrable and give some applications of this ...
Taştan, Hakan Mete, Özdemir, Fatma
core   +1 more source

TOTALLY UMBILICAL SUBMANIFOLDS OF A COMPLEX SPACE FORM

Tamkang Journal of Mathematics, 1991
TOTALLY UMBILICAL SUBMANIFOLDS OF A COMPLEX SPACE FORM
S Dawood Ali, Viqar Azam Khan
openalex   +3 more sources