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Applications of Disaffinity Vectors to Certain Riemannian Manifolds
MathematicsA disaffinity vector on a Riemannian manifold is a vector field whose affinity tensor vanishes. In this paper, we prove that every disaffinity vector on a compact Riemannian manifold is an incompressible vector field.
Hanan Alohali +2 more
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ON THE LIFTS OF SEMI-RIEMANNIAN METRICS [PDF]
Journal of Sciences, Islamic Republic of Iran, 1994 In this paper, we extend Sasaki metric for tangent bundle of a Riemannian manifold and Sasaki-Mok metric for the frame bundle of a Riemannian manifold [I] to the case of a semi-Riemannian vector bundle over a semi- Riemannian manifold. In fact, if E is a
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Heterogeneous Riemannian Manifolds [PDF]
International Journal of Mathematics and Mathematical Sciences, 2010 We solve Ambrose′s Problem for a generic class of Riemannian metrics on a smooth manifold, namely, the class of heterogeneous metrics.
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Polypotentials on a Riemannian manifold
Journal of Mathematical Analysis and Applications, 2010 AbstractPolyharmonic functions are considered on open sets in a Riemannian manifold R and their potential-theoretic properties are studied using the notion of complete m-potentials. Also one obtains here some characterizations of domains in R on which such complete m-potentials exist.
M. Damlakhi, S. Alhemedan
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Approximation of Densities on Riemannian Manifolds [PDF]
Entropy, 2019 Finding an approximate probability distribution best representing a sample on a measure space is one of the most basic operations in statistics. Many procedures were designed for that purpose when the underlying space is a finite dimensional Euclidean space. In applications, however, such a simple setting may not be adapted and one has to consider data
Le Brigant, Alice, Puechmorel, Stéphane
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The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
Mathematics, 2019 In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted ...
Vladimir Rovenski +2 more
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On the sectional curvature of lightlike submanifolds
Journal of Inequalities and Applications, 2016 The main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold.
Erol Kılıç, Mehmet Gülbahar
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Rigidity and Triviality of Gradient r-Almost Newton-Ricci-Yamabe Solitons
MathematicsIn this paper, we develop the concept of gradient r-Almost Newton-Ricci-Yamabe solitons (in brief, gradient r-ANRY solitons) immersed in a Riemannian manifold.
Mohd Danish Siddiqi, Fatemah Mofarreh
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Optimality and Duality on Riemannian Manifolds
Taiwanese Journal of Mathematics, 2018 Our goal in this paper is to translate results on function classes that are characterized by the property that all the Karush-Kuhn-Tucker points are efficient solutions, obtained in Euclidean spaces to Riemannian manifolds. We give two new characterizations, one for the scalar case and another for the vectorial case, unknown in this subject literature.
Ruiz-Garzón, Gabriel +3 more
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Principal Boundary on Riemannian Manifolds [PDF]
Journal of the American Statistical Association, 2019 We consider the classification problem and focus on nonlinear methods for classification on manifolds. For multivariate datasets lying on an embedded nonlinear Riemannian manifold within the higher-dimensional ambient space, we aim to acquire a classification boundary for the classes with labels, using the intrinsic metric on the manifolds.
Zhigang Yao, Zhenyue Zhang
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