Results 41 to 50 of about 3,286,440 (286)
On warped product bi-slant submanifolds of Kenmotsu manifolds [PDF]
Chen (2001) initiated the study of CR-warped product submanifolds in Kaehler manifolds and established a general inequality between an intrinsic invariant (the warping function) and an extrinsic invariant (second fundamental form).
Siraj Uddin, Ion Mihai, Adela Mihai
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Generalized Sasakian space forms with semi-symmetric non-metric connections; pp. 251–257 [PDF]
We introduce generalized Sasakian space forms with semi-symmetric non-metric connections. We show the existence of a generalized Sasakian space form with a semi-symmetric non-metric connection and give some examples by warped products endowed with semi ...
Sibel Sular, Cihan Özgür
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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.
Siraj Uddin
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An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms
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
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On Douglas Warped Product Metrics
Corrections on Theorem 2 and ...
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On quasi-Einstein warped products
We study quasi-Einstein warped product manifolds for arbitrary dimen- sion n 3. Mathematics Subject Classication 2010: 53C25.
Sular, Sibel, Özgür, Cihan
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Chen optimal inequalities of CR-warped products of generalized Sasakian space form
Our main objective of this paper is to derive the relationship between the main extrinsic invariant, and the contact CR δ-invariant (new intrinsic invariant) on a generic submanifold in trans-Sasakian generalized Sasakian space forms.
Aliya Naaz Siddiqui +2 more
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A remark on Einstein warped products [PDF]
We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G. Wei, rely on maximum principles at infinity and Liouville-type theorems.
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Singularity theorems for warped products and the stability of spatial extra dimensions
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
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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
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