Results 51 to 60 of about 2,316 (142)

On the Topology of Warped Product Pointwise Semi-Slant Submanifolds with Positive Curvature

open access: yesMathematics, 2021
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
doaj   +1 more source

Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold

open access: yes, 2014
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

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2017
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

open access: yes, 2011
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

open access: yesInternational Electronic Journal of Geometry, 2021
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

open access: yesJournal of Mathematical Analysis and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Uniqueness on average of large isoperimetric sets in noncompact manifolds with nonnegative Ricci curvature

open access: yesCommunications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1656-1702, September 2025.
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

open access: yes, 2017
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

open access: yesMathematics, 2020
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

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