Results 81 to 90 of about 409 (182)

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

Chen-Type Inequalities for PS-Submanifolds in Complex Space Forms

Axioms
In this paper, we investigate Chen’s δ-invariant for partially slant (PS) submanifolds of complex space forms. A PS-submanifold admits an orthogonal decomposition of the tangent bundle into a proper slant distribution and an arbitrary ambiguous ...
Md Aquib
doaj   +1 more source

Skew semi-invariant submanifolds of generalized quasi-Sasakian manifolds

Karpatsʹkì Matematičnì Publìkacìï, 2018
In the present paper,  we study a new class of submanifolds of a generalized Quasi-Sasakian manifold, called skew semi-invariant submanifold. We obtain integrability conditions of the distributions on a skew semi-invariant submanifold and also find the ...
M.D. Siddiqi, A. Haseeb, M. Ahmad
doaj   +1 more source

Intrinsic and Extrinsic Geometry of Pseudoparallel Submanifolds in Almost Kenmotsu (κ, μ, ν)-Manifolds

Axioms
In this paper, we undertake a detailed study of pseudoparallel submanifolds of almost Kenmotsu (κ,μ,ν)-spaces, with particular emphasis on invariant submanifolds.
Ibrahim Al-Dayel, Tuğba Mert, Mohd Danish Siddiqi   +2 more
doaj   +1 more source

A Classification of a Totally Umbilical Slant Submanifold of Cosymplectic Manifolds

Abstract and Applied Analysis, 2012
We study slant submanifolds of a cosymplectic manifold. It is shown that a totally umbilical slant submanifold 𝑀 of a cosymplectic manifold 𝑀 is either an anti-invariant submanifold or a 1−dimensional submanifold.
Siraj Uddin, Cenap Ozel, Viqar Azam Khan
doaj   +1 more source

Chaos and shadowing around a homoclinic tube

Abstract and Applied Analysis, 2003
Let F be a C3 diffeomorphism on a Banach space B. F has a homoclinic tube asymptotic to an invariant manifold. Around the homoclinic tube, Bernoulli shift dynamics of submanifolds is established through a shadowing lemma. This work removes an uncheckable
Yanguang (Charles) Li
doaj   +1 more source

Curvature Invariants on Partially Totally Real Submanifolds in Complex Space Forms

Mathematics
Kähler manifolds are the most studied complex manifolds. A Kähler manifold with constant holomorphic sectional curvature is said to be a complex space form. There are special classes of submanifolds in Kähler manifolds. Recently, Poyraz et al.
Ion Mihai, Mohammed Mohammed, Octavian Postavaru, Andreea Olteanu   +3 more
doaj   +1 more source

Invariants of submanifolds [PDF]

Czechoslovak Mathematical Journal, 1969
openaire   +1 more source

Tensor-invariants of submanifolds [PDF]

Czechoslovak Mathematical Journal, 1971
openaire   +2 more sources

Chen inequalities on warped product Legendrian submanifolds in Kenmotsu space forms and applications

Journal of Inequalities and Applications
In the current work, we study the geometry and topology of warped product Legendrian submanifolds in Kenmotsu space forms F 2 n + 1 ( ϵ ) $\mathbb{F}^{2n+1}(\epsilon )$ and derive the first Chen inequality, including extrinsic invariants such as the mean
Fatemah Abdullah Alghamdi, Lamia Saeed Alqahtani, Akram Ali   +2 more
doaj   +1 more source