Results 41 to 50 of about 68,458 (245)
The rectified n-harmonic map flow with applications to homotopy classes
, 2017 We introduce a rectified $n$-harmonic map flow from an n-dimensional closed Riemannian manifold to another closed Riemannian manifold. We prove existence of a global solution, which is regular except for a finite number of points, of the rectified n ...
Hong, Min-Chun
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On Certain Mappings of Riemannian Manifolds [PDF]
Nagoya Mathematical Journal, 1965 In this paper we consider certain tensors associated with differentiable mappings of Riemannian manifolds and apply the results to a p-mapping, which is a special case of a subprojective one in affinely connected manifolds (cf. [1], [7]). The p-mapping in Riemannian manifolds is a generalization of a conformal mapping and a projective one. From a point
openaire +3 more sources
F-biharmonic maps into general Riemannian manifolds
Open Mathematics, 2019 Let ψ:(M, g) → (N, h) be a map between Riemannian manifolds (M, g) and (N, h).
Mi Rong
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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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Partial Isometries of a Sub-Riemannian Manifold
, 2012 In this paper, we obtain the following generalisation of isometric $C^1$-immersion theorem of Nash and Kuiper. Let $M$ be a smooth manifold of dimension $m$ and $H$ a rank $k$ subbundle of the tangent bundle $TM$ with a Riemannian metric $g_H$.
Eliashberg Y. +3 more
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Quasiregular Mappings on Sub-Riemannian Manifolds [PDF]
The Journal of Geometric Analysis, 2015 33 ...
Fässler, Katrin +2 more
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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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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
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A Riemannian trust-region method for low-rank tensor completion
, 2017 The goal of tensor completion is to fill in missing entries of a partially known tensor (possibly including some noise) under a low-rank constraint. This may be formulated as a least-squares problem.
Heidel, Gennadij, Schulz, Volker
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Epilepsia, EarlyView.Abstract Objective This study was undertaken to develop and validate an artificial intelligence (AI) diagnostic tool using hybrid electroencephalographic (EEG)–video signals for automatic epileptic spasms (ES) detection. Methods This retrospective cohort study with internal cross‐validation and multicenter external validation was conducted from July ...
Lin Wan +15 more
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