Results 11 to 20 of about 7,321 (260)
The existence of bounded harmonic functions on C-H manifolds [PDF]
Bulletin of the Australian Mathematical Society, 1996 Let M be a Cartan-Hadamard manifold of dimension n (n ≥ 2). Suppose that M satisfies for every x > M outside a compact set an inequality:where b, A are positive constants and A > 4. Then M admits a wealth of bounded harmonic functions, more precisely, the Dirichlet problem of the Laplacian of M at infinity can be solved for any continuous ...
Ding, Qing, Zhou, Detang
openaire +1 more source
Mathematical Modelling and Control, 2021 In the present work, we study discontinuous impulsive systems of the type of Cohen-Grossberg Neural Networks (CGNNs) with time-varying delays. The impulsive perturbations are realized not at fixed moments of time, and can be considered as control inputs. The hybrid concept of practical exponential stability with respect to specific manifolds defined by
Gani Stamov +2 more
openaire +2 more sources
IEEE Access, 2020 Cohen-Grossberg neural networks with delays provide a very powerful tool in the study of information processing, parallel computation, pattern recognition and solving of optimization problems.
Jinde Cao +4 more
doaj +1 more source
Dixon-Rosenfeld lines and the Standard Model
European Physical Journal C: Particles and Fields, 2023 We present three new coset manifolds named Dixon-Rosenfeld lines that are similar to Rosenfeld projective lines except over the Dixon algebra $$\mathbb {C}\otimes \mathbb {H}\otimes \mathbb {O}$$ C ⊗ H ⊗ O .
David Chester +4 more
doaj +1 more source
Affine Differential Geometric Control Tools for Statistical Manifolds
Mathematics, 2021 The paper generalizes and extends the notions of dual connections and of statistical manifold, with and without torsion. Links with the deformation algebras and with the Riemannian Rinehart algebras are established.
Iulia-Elena Hirica +3 more
doaj +1 more source
Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds
Advances in Mathematical Physics, 2022 Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni +3 more
doaj +1 more source
Integrating Lie algebroids via stacks [PDF]
, 2006 Lie algebroids can not always be integrated into Lie groupoids. We introduce a new object--``Weinstein groupoid'', which is a differentiable stack with groupoid-like axioms. With it, we have solved the integration problem of Lie algebroids.
Tseng, Hsian-Hua, Zhu, Chenchang
core +1 more source
A study of horizontally weakly conformal maps and their distributions [PDF]
ریاضی و جامعه, 2023 The aim of this paper is to consider horizontally weakly conformal maps which have been studied in [P. Baird and J. C. Wood, Harmonic morphisms between Riemannian manifolds, London Mathematical Society Monographs.
Mehran Aminian
doaj +1 more source
, 2023 The concept of a ${\rm Spin}^h$-manifold, which is a cousin of Spin- and ${\rm Spin}^c$-manifolds, has been at the center of much research in recent years. This article discusses some of the highlights of this story.
openaire +2 more sources
𝐻-manifolds have no nontrivial idempotents [PDF]
Proceedings of the American Mathematical Society, 1970 For a set X and a function m: XXX->X, call xEX an idempotent (element) of (X, m) if m(x, x) =x. If (X, m) is a group with unit element e, then of course e, the trivial idempotent, is the only one in (X, m). At the other extreme, if m: XXX->X is defined by m(x, x') = x, then (X, m) is a semigroup in which every element is idempotent.
openaire +1 more source