Results 51 to 60 of about 4,006,812 (300)
European Physical Journal C: Particles and Fields, 2022 For the gravitational wave model based on the type III Shapovalov wave space-time, test particle trajectories and the exact solution of geodesic deviation equations for the Bianchi type VII universe are obtained. Based on the found 4-vector of deviation,
Konstantin Osetrin +2 more
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Convex (α, β)-Generalized Contraction and Its Applications in Matrix Equations
Axioms, 2023 This paper investigates the existence and convergence of solutions for linear and nonlinear matrix equations. This study explores the potential of convex (α,β)-generalized contraction mappings in geodesic spaces, ensuring the existence of solutions for ...
Rahul Shukla, Winter Sinkala
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Geodesics in the space of Kähler metrics [PDF]
Duke Mathematical Journal, 2013 Let (X,ω) be a compact Kähler manifold. As discovered in the late 1980s by Mabuchi, the set H_0 of Kähler forms cohomologous to ωhas the natural structure of an infinite dimensional Riemannian manifold. We address the question whether any two points in H_0 can be connected by a smooth geodesic, and show that the answer, in general, is "no".
Lempert, László, Vivas, Liz
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Full‐Field Damage Monitoring in Architected Lattices Using In situ Electrical Impedance Tomography
Advanced Functional Materials, EarlyView.In situ electrical impedance tomography (EIT) turns 3D‐printed, CNT‐infused architected lattices into full‐field damage‐imaging systems. Tunable Voronoi‐based geometries act as active sensing architectures, enabling conductivity maps to detect early‐stage damage and localise sequential ligament fracture before catastrophic failure.
Akash Deep +4 more
wiley +1 more source
CR-submanifolds of a locally conformal Kaehler space form
International Journal of Mathematics and Mathematical Sciences, 1994 (Bejancu [1,2]) The purpose of this paper is to continue the study of CR-submanifolds, and in particular of those of a locally conformal Kaehler space form (Matsumoto [3]).
M. Hasan Shahid
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The Space of Closed Geodesics on a Surface
Interdisciplinary Information Sciences, 2003 Let \(F\) be a closed, orientable surface of genus \(g\), endowed with a metric of constant curvature and denote by \({\mathcal G}_g\) the set of closed geodesics on \(F\). Closed geodesics are considered as images of periodic maps from \(\mathbb{R}\) into \(F\).
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Continuum Robots in Surgery: From Engineering Design to Clinical Practice
Advanced Robotics Research, EarlyView.The hyper‐redundant nature of continuum robot structures enables near‐infinite degrees of freedom leading to immense potential for medical applications. This review provides a historical background of continuum robots and novel ideas shaping their progress to current structural design, sensing technology, modeling techniques, and control methods.
Griffin Smith +6 more
wiley +1 more source
Time‐Discrete Geodesics in the Space of Shells [PDF]
Computer Graphics Forum, 2012 AbstractBuilding on concepts from continuum mechanics, we offer a computational model for geodesics in the space of thin shells, with a metric that reflects viscous dissipation required to physically deform a thin shell. Different from previous work, we incorporate bending contributions into our deformation energy on top of membrane distortion terms in
Behrend Heeren +3 more
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Advanced Science, EarlyView.Ex‐spRandom is a spatial transcriptomics platform that synergizes random‐primed chemistry with iterative hydrogel expansion. By physically decrowding the dense FFPE matrix, this scalable technology shatters the traditional resolution‐sensitivity barrier.
Shunji Zhang +7 more
wiley +1 more source
On geodesic mappings of symmetric pairs
Pracì Mìžnarodnogo Geometričnogo Centru, 2023 The paper treats properties of pseudo-Riemannian spaces admitting non-trivial geodesic mappings. A symmetric pair of pseudo-Riemannian spaces is a pair of spaces with coinciding values of covariant derivatives for their Riemann tensors. It is proved that
Volodymyr Kiosak +2 more
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