Results 11 to 20 of about 37,901 (272)
Differential Geometry and its Applications, 2001 The author studies the completeness of Lorentzian doubly warped products with metrics of the form \(-f^2 dt^2\oplus b^2g_F\) for positive functions \(f\) on a Riemannian manifold \(F\), \(b\) on an interval \((c,d)\).
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Chen optimal inequalities of CR-warped products of generalized Sasakian space form
Journal of Taibah University for Science, 2020 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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Ricci curvature bounds for warped products [PDF]
Journal of Functional Analysis, 2013 We prove generalized lower Ricci curvature bounds for warped products over complete Finsler manifolds. On the one hand our result covers a theorem of Bacher and Sturm concerning euclidean and spherical cones.
Ketterer, Christian
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Warped product space-times [PDF]
Classical and Quantum Gravity, 2017 Many classical results in relativity theory concerning spherically symmetric space-times have easy generalizations to warped product space-times, with a two-dimensional Lorentzian base and arbitrary dimensional Riemannian fibers. We first give a systematic presentation of the main geometric constructions, with emphasis on the Kodama vector field and ...
Xinliang An, Willie Wai Yeung Wong
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A Geometric Obstruction for CR-Slant Warped Products in a Nearly Cosymplectic Manifold
Mathematics, 2020 In the early 20th century, B.-Y. Chen introduced the concept of CR-warped products and obtained several fundamental results, such as inequality for the length of second fundamental form. In this paper, we obtain B.-Y.
Siraj Uddin, M. Z. Ullah
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Asian Journal of Mathematics, 2015 In this paper we study the space of solutions to an overdetermined linear system involving the Hessian of functions. We show that if the solution space has dimension greater than one, then the underlying manifold has a very rigid warped product structure.
He, Chenxu +2 more
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New Bernstein Type Results in Weighted Warped Products
Journal of Mathematics, 2021 In this paper, we obtain new parametric uniqueness results for complete constant weighted mean curvature hypersurfaces under suitable geometric assumptions in weighted warped products.
Ning Zhang
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Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds
Mathematics, 2019 Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui +2 more
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Uniqueness of Complete Hypersurfaces in Weighted Riemannian Warped Products
Advances in Mathematical Physics, 2021 In this paper, applying the weak maximum principle, we obtain the uniqueness results for the hypersurfaces under suitable geometric restrictions on the weighted mean curvature immersed in a weighted Riemannian warped product I×ρMfn whose fiber M has f ...
Ning Zhang
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On warped product bi-slant submanifolds of Kenmotsu manifolds [PDF]
Arab Journal of Mathematical Sciences, 2021 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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