Results 1 to 10 of about 48 (48)
Some fixed-point theorems for a pair of Reich-Suzuki-type nonexpansive mappings in hyperbolic spaces
Topological Algebra and its Applications, 2023 In this article, we prove some fixed-point results for a pair of Reich-Suzuki-type nonexpansive mappings in uniformly convex WW-hyperbolic spaces. We introduce a new iterative scheme and establish its convergence to the fixed points of a pair of Reich ...
Valappil Sreya Valiya +1 more
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Connecting and Closed Geodesics of a Kropina Metric
Advanced Nonlinear Studies, 2021 We prove some results about existence of connecting and closed geodesics in a manifold endowed with a Kropina metric. These have applications to both null geodesics of spacetimes endowed with a null Killing vector field and Zermelo’s navigation problem ...
Caponio Erasmo +3 more
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Quantum Variation about Geodesics [PDF]
, 2018 : The caustic that occur in geodesics in space-times which are solutions to the gravitational field equations with the energy-momentum tensor satisfying the dominant energy condition can be circumvented if quantum variations are allowed.
Simon Davis
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A multiple-patch phase space method for computing trajectories on manifolds with applications to wave propagation problems [PDF]
, 2007 . We present a multiple-patch phase space method for computing trajectories on two-dimensional manifolds possibly embedded in a higher-dimensional space. The dynamics of tra-jectories are given by systems of ordinary differential equations (ODEs).
Olof Runborg +3 more
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Geodesic excursions into cusps in finite-volume hyperbolic manifolds [PDF]
, 1993 18 pages, no figures.-- MSC1991 codes: Primary: 53C22; Secondary: 30F40, 58F17.MR#: MR1214056 (94d:53067)Zbl#: Zbl 0793.53052The main goal of the paper is to prove that, for a given non-compact hyperbolic $n$-manifold $M$ of finite volume, $p\in M$, and ...
Maria V. Melian +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 We generalize the Zermelo navigation on Riemannian manifolds (M; h), admitting a space dependence of a ship's speed 0 < |u(x)|h ≤ 1 in the presence of a perturbation W̃ determined by a strong (critical) velocity vector field satisfying |W̃ (x)|h = |u(x ...
Kopacz Piotr
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A Variational Model for Data Fitting on Manifolds by Minimizing the Acceleration of a Bézier Curve
Frontiers in Applied Mathematics and Statistics, 2018 We derive a variational model to fit a composite Bézier curve to a set of data points on a Riemannian manifold. The resulting curve is obtained in such a way that its mean squared acceleration is minimal in addition to remaining close the data points. We
Ronny Bergmann +1 more
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Conjugate points in formation constrained optimal multi-agent coordination: A case study [PDF]
, 2006 . In this paper, an optimal coordinated motion planning problem for multiple agents subject to constraints on the admissible formation patterns is formulated.
J. Hu +5 more
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Multiple Closed Geodesics on Positively Curved Finsler Manifolds
Advanced Nonlinear Studies, 2019 In this paper, we prove that on every Finsler manifold (M,F){(M,F)} with reversibility λ and flag curvature K satisfying (λλ+1 ...
Wang Wei
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Typical geodesics on hyperbolic manifolds of dimension 2 [PDF]
, 2020 BALCAN, Vladimir. Typical geodesics on hyperbolic manifolds of dimension 2. In: Competitivitatea şi inovarea în economia cunoaşterii [online]: culegere de articole ştiinţifice: conf. şt. intern., 25-26 sept. 2020. Chişinău: ASEM, 2020, pp. 454-462.
Balcan, Vladimir
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