Results 31 to 40 of about 1,787 (168)
CIRCLES ALONG A RIEMANNIAN MAP AND CLAIRAUT RIEMANNIAN MAPS
Bulletin of the Korean Mathematical Society, 2017 We first extend Yano-Nomizu's theorem, which characterizes extrinsic spheres in a Riemannian manifold, for Riemannian maps. Then we introduce Clairaut Riemannian maps, give an example and obtain necessary and sufficient conditions for a Riemannian map to be Clairaut type.
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Arab Journal of Mathematical Sciences, 2016 In this paper, we prove that a map between Riemannian manifolds is an f-harmonic morphism in a general sense if and only if it is horizontally weakly conformal, satisfying some conditions, and we investigate the properties of f-harmonic morphism in a ...
Nour Elhouda Djaa, Ahmed Mohamed Cherif
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An Online Data Visualization Feedback Protocol for Motor Imagery-Based BCI Training
Frontiers in Human Neuroscience, 2021 Brain–computer interface (BCI) has developed rapidly over the past two decades, mainly due to advancements in machine learning. Subjects must learn to modulate their brain activities to ensure a successful BCI.
Xu Duan +5 more
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Harmonic Maps and Stability on f-Kenmotsu Manifolds
International Journal of Mathematics and Mathematical Sciences, 2008 The purpose of this paper is to study some submanifolds and Riemannian submersions on an f-Kenmotsu manifold. The stability of a ϕ-holomorphic map from a compact f-Kenmotsu manifold to a Kählerian manifold is proven.
Vittorio Mangione
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Optimal inequalities involving Casorati curvatures for Riemannian maps to nearly Kaehler manifolds
Journal of Inequalities and ApplicationsWe establish a general inequality and optimal inequalities involving the normalized Casorati curvatures and the generalized normalized Casorati curvatures within the horizontal space of a Riemannian map from a Riemannian manifold to a nearly Kaehler ...
Tanveer Fatima +5 more
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SEMI-RIEMANNIAN TRANSVERSAL MAPS
Demonstratio Mathematica, 1998 Summary: A generalization of semi-Riemannian submersions to semi-Riemannian transversal maps is given. Also a fundamental equation of a regular, normal semi-Riemannian transversal map is obtained.
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The Soliton-Ricci Flow with variable volume forms
Complex Manifolds, 2016 We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
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A Novel Approach to Canonical Divergences within Information Geometry
Entropy, 2015 A divergence function on a manifold M defines a Riemannian metric g and dually coupled affine connections ∇ and ∇ * on M.
Nihat Ay, Shun-ichi Amari
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Axioms, 2020 A marginally trapped surface in a spacetime is a Riemannian surface whose mean curvature vector is lightlike at every point. In this paper we give an up-to-date overview of the differential geometric study of these surfaces in Minkowski, de Sitter, anti ...
Kristof Dekimpe, Joeri Van der Veken
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