Results 41 to 50 of about 2,959 (165)
The warped product of holomorphic Lie algebroids
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020 We introduce the warped product of two holomorphic Finsler algebroids and we define a complex Finsler function on it. We study the Chern-Finsler connections of the bundles and of their product and we investigate their curvatures.
Ionescu Alexandru, Munteanu Gheorghe
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A DDVV INEQUALITY FOR SUBMANIFOLDS OF WARPED PRODUCTS [PDF]
Bulletin of the Australian Mathematical Society, 2017 We prove a DDVV inequality for submanifolds of warped products of the form $I\times _{a}\mathbb{M}^{n}(c)$, where $I$ is an interval and $\mathbb{M}^{n}(c)$ is a real space form of curvature $c$. As an application, we give a rigidity result for submanifolds of $\mathbb{R}\times _{e^{\unicode[STIX]{x1D706}t}}\mathbb{H}^{n}(c)$.
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Finsler Warped Product Metrics with Special Curvature Properties
Axioms, 2023 The class of warped product metrics can often be interpreted as key space models for the general theory of relativity and theory of space–time. In this paper, we study several non-Riemannian quantities in Finsler geometry. These non-Riemannian quantities
Lingen Sun, Xiaoling Zhang, Mengke Wu
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Some Results on Warped Product Submanifolds of a Sasakian Manifold
International Journal of Mathematics and Mathematical Sciences, 2010 We study warped product Pseudo-slant submanifolds of Sasakian manifolds. We prove a theorem for the existence of warped product submanifolds of a Sasakian manifold in terms of the canonical structure 𝐹.
Siraj Uddin, V. A. Khan, Huzoor H. Khan
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Poisson Doubly Warped Product Manifolds
Mathematics, 2023 This article generalizes some geometric structures on warped product manifolds equipped with a Poisson structure to doubly warped products of pseudo-Riemannian manifolds equipped with a doubly warped Poisson structure.
Ibrahim Al-Dayel +2 more
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AIP AdvancesThis paper introduces a description of a doubly warped product manifold, taking into account certain conditions related to the projective curvature tensor.
Abdallah Abdelhameed Syied +3 more
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CRITICAL POINTS AND WARPED PRODUCT METRICS [PDF]
Bulletin of the Korean Mathematical Society, 2004 The authors prove a rigidity theorem showing that no warped products of dimension 3 can satisfy a certain Euler-Lagrange equation involving the total scalar curvature functional unless it is isometric to the standard sphere.
Hwang, Seungsu, Chang, Jeongwook
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On doubly warped product Finsler manifolds [PDF]
Nonlinear Analysis: Real World Applications, 2012 In this paper, we introduce horizontal and vertical warped product Finsler manifold. We prove that every C-reducible or proper Berwaldian doubly warped product Finsler manifold is Riemannian. Then, we find the relation between Riemmanian curvatures of doubly warped product Finsler manifold and its components, and consider the cases that this manifold ...
Peyghan, Esmaeil, Tayebi, Akbar
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The Weyl problem in warped product spaces
Journal of Differential Geometry, 2020 In this paper, we discuss the Weyl problem in warped product space. We obtain the openness, non rigidity and some applications. These results together with the a priori estimates obtained by Lu imply some existence results. Meanwhile we reprove the infinitesimal rigidity in the space forms.
Li, Chunhe, Wang, Zhizhang
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Curvature Estimates for Submanifolds in Warped Products [PDF]
Results in Mathematics, 2011 We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space of a Riemannian submersion.
Alías, L. J. +3 more
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