Results 81 to 90 of about 888,449 (207)
Journal of Inequalities and Applications, 2018 Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
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A Spike‐Based Graph Surrogate for Modeling Finite Element Structures
Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 4, December 2026.ABSTRACT The use of Artificial Intelligence (AI) in structural mechanics has grown substantially in the recent years, with diverse applications ranging from constitutive laws and Gauss‐point‐level enhancements to the complete replacement of classical Finite Element Methods (FEM) with surrogate models.
Vaishnav Bhaskaran +2 more
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Determining Levels of Affective States with Riemannian Geometry Applied to EEG Signals
Applied SciencesEmotion recognition from electroencephalography (EEG) often relies on Euclidean features that ignore the curved geometry of covariance matrices. We introduce a Riemannian-manifold pipeline which, combined with the Fisher Geodesic Minimum Distance to Mean
Agnieszka Wosiak +2 more
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Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
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Riemannian submersions From Almost Hermitian Manifolds
, 2017 In this chapter, we introduce various new Riemannian submersions from almost Hermitian manifolds on to Riemannian manifolds. In section 1, we first review almost Hermitian manifolds and their submanifolds, and give brief information about holomorphic ...
Sahin, Bayram, Bayram Şahin
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Carleson Measures and Logvinenko-Sereda sets on compact manifolds [PDF]
, 2013 Given a compact Riemannian manifold $M$ of dimension $m \geq 2$, we study the space of functions of $L^2(M)$generated by eigenfunctions of eigenvalues less than $L \geq 1$ associated to the Laplace-Beltrami operator on $M$.
Bharti Pridhnani +3 more
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The influence of density models on wormhole formation in Finsler–Barthel–Randers geometry
European Physical Journal C: Particles and FieldsThis paper investigates the structure and stability of wormholes within the framework of Finsler–Barthel–Randers geometry, focusing on the influence of different density models. Finsler geometry, as a generalization of Riemannian geometry, allows for the
B. R. Yashwanth +3 more
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On the geometry of WDVV equations and their Hamiltonian formalism in arbitrary dimension
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract It is known that in low dimensions Witten–Dijkgraaf–Verlinde–Verlinde (WDVV) equations can be rewritten as commuting quasilinear bi‐Hamiltonian systems. We extend some of these results to arbitrary dimension N$N$ and arbitrary scalar product η$\eta$.
S. Opanasenko, R. Vitolo
wiley +1 more source
A Comprehensive Review of Golden Riemannian Manifolds
AxiomsIn differential geometry, the concept of golden structure represents a compelling area with wide-ranging applications. The exploration of golden Riemannian manifolds was initiated by C. E. Hretcanu and M.
Bang-Yen Chen +2 more
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On area comparison and rigidity involving the scalar curvature [PDF]
In this thesis we study the effects of lower bounds for the curvature of a Riemannian manifold M on the geometry and topology of closed, minimal hypersurfaces.
Moraru, Vlad
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