Results 41 to 50 of about 163 (136)
Cr-warped product submanifolds of Lorentzian manifolds [PDF]
Mathematica Moravica, 2010 Warped product CR-submanifolds of Lorentzian Sasakian manifolds are investigated. Especially, it is shown that a warped product \(M=N_\bot\times_f N_T\) in a Lorentzian Sasakian manifold is simply a CR-product (\(f\) is constant), where \(N_T\) and \(N_\bot\) are respectively invariant and anti-invariant submanifolds of the Lorentzian Sasakian manifold,
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Advances in Difference Equations, 2021 In the present paper, we find some characterization theorems. Under certain pinching conditions on the warping function satisfying some differential equation, we show that the base of warped product submanifolds of a Sasakian space form M ˜ 2 m + 1 ( ϵ )
Akram Ali +3 more
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Nonlinear Deformation Synthesis via Sparse Principal Geodesic Analysis
Computer Graphics Forum, Volume 39, Issue 5, Page 119-132, August 2020., 2020 Abstract This paper introduces the construction of a low‐dimensional nonlinear space capturing the variability of a non‐rigid shape from a data set of example poses. The core of the approach is a Sparse Principal Geodesic Analysis (SPGA) on the Riemannian manifold of discrete shells, in which a pose of a non‐rigid shape is a point.
Josua Sassen +2 more
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An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms
Mathematics, 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
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Geometric Inequalities for Warped Products in Riemannian Manifolds
Mathematics, 2021 Warped products are the most natural and fruitful generalization of Riemannian products. Such products play very important roles in differential geometry and in general relativity.
Bang-Yen Chen, Adara M. Blaga
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Multiply Warped Product Generalized Semi-Invariant Submanifolds
International 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
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Communications 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
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Notes on submanifolds in warped products
Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Bi-warped Product Submanifolds of Nearly Kaehler Manifolds [PDF]
Bulletin of the Malaysian Mathematical Sciences Society, 2019 12 ...
Siraj Uddin +3 more
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Geometry of warped product pointwise submanifolds of Sasakian manifolds
Filomat, 2020 Recently, Chen and Uddin introduced and studied warped product pointwise bi-slant submanifolds of K?hler manifolds in [13]. They have obtained many interesting results. In the present paper, we investigate warped product pointwise bi-slant submanifolds in Sasakian manifolds and we derive contact version of results obtain in [13].
Alqahtani, Lamia Saeed +1 more
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