Results 31 to 40 of about 18,512 (114)

TOTALLY UMBILICAL CR-SUBMANIFOLDS OF A KAEHLER MANIFOLD

Tamkang Journal of Mathematics, 1993
In the present paper we study totally umbilical CR-submanifolds of a Kaehler manifold. A classification theorem for a $D^\perp$-totally umbilical CR-submanifold is proved. The conditions under which a CR- submanifold becomes a CR-product are obtained, and finally a theorem for a CR-submanifold to be a proper CR-product is also ...
Khursheed Haider, S. M., Khan, V. A., Husain, S. I.   +2 more
openaire   +3 more sources

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

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

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

On a Study of the Totally Umbilical Semi-Invariant Submanifolds of Golden Riemannian Manifolds

, 2018
The Golden Ratio is fascinating topic that continually generated news ideas. A Riemannian manifold endowed with a Golden Structure will be called a Golden Riemannian manifold. Precisely, we can say that an (1,1)-tensor field P  on a m-dimensional Riemann
F. Erdoğan, Cumali Yıldırım
semanticscholar   +1 more source

Lightlike submersions from totally umbilical semi-transversal lightlike submanifolds

, 2018
. We study lightlike submersions from a totally umbilical semi-transversal lightlike submanifold of an indefinite Kaehler manifold onto an indefinite almost Hermitian manifold.
R. Kaushal, Rakesh Kumar, R. K. Nagaich
semanticscholar   +1 more source

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

Totally umbilical CR-submanifolds of a Kaehler manifold [PDF]

Kodai Mathematical Journal, 1986
It was proved [see the reviewer, Geometry of CR-submanifolds (1986; Zbl 0605.53001); Theorem 2.1, p. 43] that a totally umbilical CR-submanifold M of a Kaehler manifold N is either totally geodesic or totally real, or dim \(D^{\perp}=1\). In the last case, \textit{T. Toyonari} and \textit{H. Nemoto} [TRU Math.
Deshmukh, Sharief, Husain, S. I.
openaire   +3 more sources