Results 31 to 40 of about 12,062 (222)
Using distance on the Riemannian manifold to compare representations in brain and in models
NeuroImage, 2021 Representational similarity analysis (RSA) summarizes activity patterns for a set of experimental conditions into a matrix composed of pairwise comparisons between activity patterns.
Mahdiyar Shahbazi +3 more
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Curvature homogeneous riemannian manifolds [PDF]
Annales scientifiques de l'École normale supérieure, 1989 The authors consider a Riemannian manifold \((M,g)\) with the same curvature tensor (at each point \(m\in M)\) as a Riemannian symmetric ``model space'' \((M^ 0,g^ 0)\), and they prove the following theorem: If the nullity distribution of the curvature tensor of \((M,g)\) is parallel, then \((M,g)\) is locally symmetric and locally isometric to \((M^ 0,
Tricerri, Franco, Vanhecke, Lieven
openaire +2 more sources
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, EarlyView.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
A new curvature-like tensor in an almost contact Riemannian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2016 In a M. Prvanović’s paper [5], we can find a new curvature-like tensor in an almost Hermitian manifold.In this paper, we define a new curvature-like tensor, named contact holomorphic Riemannian, briefly (CHR), curvature tensor in an almost ...
Koji Matsumoto
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley +1 more source
Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds
Journal of Function Spaces and Applications, 2013 We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion ...
Yılmaz Gündüzalp
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Geometry of concircular curvature tensor of Nearly Kahler manifold
Tikrit Journal of Pure Science, 2023 In this paper, we study the necessary condition where a nearly Kahler manifold of flat concircular tensor has been found. And the relationship between these invariants and additional properties of symmetry concircular tensor, as well as geometrical ...
Taha H. Jasim +2 more
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Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond
Mathematische Nachrichten, EarlyView.Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley +1 more source
Fiber-Preserving Conformal Vector Field of Frame Bundles with Natural Riemannian Metric [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2019 We consider the bundle of all oriented orthonormal frames over an orientable Remannian manifold. This bundle has a natural Riemannian metric which is defined by the Riemannian connection of the base manifold.
M.T.K. Abbassi , N. Amri
doaj
On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric; pp. 149–157 [PDF]
Proceedings of the Estonian Academy of Sciences, 2011 The purpose of the present article is to find solutions to a system of partial differential equations that characterize infinitesimal holomorphically projective transformations on the tangent bundle with the Sasaki metric and an adapted almost complex ...
Aydin Gezer
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