Results 61 to 70 of about 5,816,652 (357)
Chen’s improved inequality for pointwise hemi-slant warped products in Kaehler manifolds
Filomat, 2020 Recently, B.-Y. Chen discovered a technique to find the relation between second fundamental form and the warping function of warped product submanifolds.
Monia Naghi +2 more
semanticscholar +1 more source
Generalized Sasakian space forms with semi-symmetric non-metric connections; pp. 251–257 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 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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Self-similar solutions of curvature flows in warped products [PDF]
Differential geometry and its applications, 2018 In this paper we study self-similar solutions in warped products satisfying $F-\mathcal{F}=\bar{g}(\lambda(r)\partial_{r},\nu)$, where $\mathcal{F}$ is a nonnegative constant and $F$ is in a class of general curvature functions including powers of mean ...
Shanze Gao, Hui Ma
semanticscholar +1 more source
Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
Bulletin 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
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
doaj +1 more source
On quasi-Einstein warped products
Annals of the Alexandru Ioan Cuza University - Mathematics, 2012 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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Mathematics, 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
Killing tensors and warped product [PDF]
Annales Polonici Mathematici, 2000 By a Killing tensor one understands a \((1,1)\)-tensor field \(S\) on a Riemannian manifold \((M,g)\) satisfying the conditions \(\langle SX,Y \rangle =\langle X,S Y\rangle\) and \(\langle\nabla S(X,X),X \rangle=0\), for all \(X\) on \(M\). Considering the eigenvalues and the eigendistributions of \(S\), the author gets close relations between certain ...
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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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A Moser-Bernstein problem for Riemannian warped products [PDF]
, 2020 In this work we deal with an elliptic non-linear problem, which arises naturally from Riemannian geometry. This problem has clasically been studied in the the Euclidean $n$-dimensional space and it is known as the Moser-Bernstein problem. Nevertheless we
Albujer, Alma L. +2 more
core +2 more sources