Results 1 to 10 of about 53 (49)
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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Structure Theorem for Riemannian surfaces with arbitrary curvature [PDF]
, 2008 15 pages, 3 figures.-- MSC2000 codes: 53C20, 53C22, 58A99.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0090Previously presented as Poster at: X Encuentros de Análisis Real y Complejo (XEARCO'07, Palma de Mallorca, Spain, May 10-13, 2007 ...
Tourís, Eva +2 more
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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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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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A characterization of Gromov hyperbolicity of surfaces with variable negative curvature [PDF]
, 2009 18 pages, 4 figures.-- MSC2000 codes: 53C15, 53C21, 53C22, 53C23.MR#: MR2474116 (2009k:53091)Zbl#: Zbl 1153.53320In this paper we show that, in order to check Gromov hyperbolicity of any surface with curvature $K \leq -k^2 < 0$, we just need to verify ...
Tourís, Eva, Portilla, Ana
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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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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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Quantum Variation about Geodesics
, 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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