Results 21 to 30 of about 2,813,350 (238)

Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds

open access: yesBulletin of Mathematical Sciences, 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.
Siraj Uddin
doaj   +1 more source

Characterizing Base in Warped Product Submanifolds of Complex Projective Spaces by Differential Equations

open access: yesMathematics, 2022
In this study, a link between the squared norm of the second fundamental form and the Laplacian of the warping function for a warped product pointwise semi-slant submanifold Mn in a complex projective space is presented.
Ali H. Alkhaldi   +3 more
doaj   +1 more source

Sobolev spaces on warped products [PDF]

open access: yes, 2018
We study the structure of Sobolev spaces on the cartesian/warped products of a given metric measure space and an interval. Our main results are: – the characterization of the Sobolev spaces in such products,– the proof that, under natural assumptions ...
Bang-Xian Han   +3 more
core   +1 more source

An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms

open access: yesMathematics, 2023
In the present paper, we investigate the geometry and topology of warped product Legendrian submanifolds in Sasakian space forms D2n+1(ϵ) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of ...
Fatemah Abdullah Alghamdi   +3 more
doaj   +1 more source

Singularity theorems for warped products and the stability of spatial extra dimensions

open access: yesJournal of High Energy Physics, 2019
New singularity theorems are derived for generic warped-product spacetimes of any dimension. The main purpose is to analyze the stability of (compact or large) extra dimensions against dynamical perturbations.
Nastassja Cipriani   +1 more
doaj   +1 more source

Complete spacelike hypersurfaces with positive r-th mean curvature in a semi-Riemannian warped product

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper, by supposing a natural comparison inequality on the positive r-th mean curvatures of the hypersurface, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces immersed in a semi-Riemannian warped product of constant
Wang Yaning, Liu Ximin
doaj   +1 more source

On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications

open access: yesAxioms
The concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped
Fatimah Alghamdi
doaj   +1 more source

Multiply warped products quasi-Einstein manifolds with quarter-symmetric connection [PDF]

open access: yes, 2016
In this paper we study warped products and multiply warped products on quasi-Einstein manifolds with a quarter-symmetric connection.
Pahan, Sampa   +2 more
core   +1 more source

On Bernstein-Type Theorems in Semi-Riemannian Warped Products

open access: yesAdvances in Mathematical Physics, 2013
Complete spacelike hypersurfaces immersed in semi-Riemannian warped products are investigated. By using a technique according to Yau (1976) and a reasonable restriction on the mean curvature of the hypersurfaces, we obtain some new Bernstein-type ...
Wenjie Wang, Ximin Liu
doaj   +1 more source

Entanglement entropy in internal spaces and Ryu-Takayanagi surfaces

open access: yesJournal of High Energy Physics, 2023
We study minimum area surfaces associated with a region, R, of an internal space. For example, for a warped product involving an asymptotically AdS space and an internal space K, the region R lies in K and the surface ends on ∂R.
Sumit R. Das   +5 more
doaj   +1 more source

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