Results 51 to 60 of about 2,316 (142)
On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature
In this paper, we obtain some topological characterizations for the warping function of a warped product pointwise semi-slant submanifold of the form Ωn=NTl×fNϕk in a complex projective space CP2m(4).
Yanlin Li +3 more
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Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold
We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for skew semi-invariant submanifold of order 1 to be a locally warped product.
Taştan, Hakan Mete
core +1 more source
Warped product semi-slant submanifolds in locally conformal Kaehler manifolds
In 1994, in [13], N. Papaghiuc introduced the notion of semi-slant submanifold in a Hermitian manifold which is a generalization of CR- and slant-submanifolds. In particular, he considered this submanifold in Kaehlerian manifolds, [13]. Then, in 2007, V.
Koji Matsumoto
doaj +1 more source
A mean curvature estimate for cylindrically bounded submanifolds
We extend the estimate obtained in [1] for the mean curvature of a cylindrically bounded proper submanifold in a product manifold with an Euclidean space as one factor to a general product ambient space endowed with a warped product ...
Alias, Luis J., Dajczer, Marcos
core +1 more source
Multiply Warped Product Generalized Semi-Invariant Submanifolds
We define generalized semi-invariant submanifolds in locally product Riemannian manifolds. Then we study multiply warped product generalized semi-invariant submanifolds in the same structure. We give an existence theorem for such submanifolds. We also give necessary and sufficient conditions for such a submanifold to be a multiply direct product ...
Moctar Traore +2 more
openaire +4 more sources
Notes on submanifolds in warped products
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Abstract Let (Mn,g)$(M^n,g)$ be a complete Riemannian manifold which is not isometric to Rn$\mathbb {R}^n$, has nonnegative Ricci curvature, Euclidean volume growth, and quadratic Riemann curvature decay. We prove that there exists a set G⊂(0,∞)$\mathcal {G}\subset (0,\infty)$ with density 1 at infinity such that for every V∈G$V\in \mathcal {G}$ there ...
Gioacchino Antonelli +2 more
wiley +1 more source
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.
Uddin, Siraj
core +1 more source
Geometric Inequalities of Warped Product Submanifolds and Their Applications
In the present paper, we prove that if Laplacian for the warping function of complete warped product submanifold M m = B p × h F q in a unit sphere S m + k satisfies some extrinsic inequalities depending on the dimensions of the
Nadia Alluhaibi +3 more
doaj +1 more source

