Results 21 to 30 of about 1,044 (284)
Regularities of the theory of quasi-geodesic mappings of special parabolic spaces
Pracì Mìžnarodnogo Geometričnogo CentruWe study quasi-geodesic mappings (QGM) of generalized-recurrent-parabolic spaces f: (Vn, gij, Fih) → (V'n, g'ij, Fih). QGM can be of two types: general and canonical. This article examines the QGM of the general type.
Iryna Kurbatova +2 more
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AxiomsConformal mappings between Riemannian spaces R¯N and RN are defined by the explicit transformation of the metric tensor of the space R¯N to the metric tensor of the space RN.
Branislav M. Randjelović +4 more
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Geodesic scattering on hyperboloids and Knörrer’s map [PDF]
Nonlinearity, 2021 Abstract We use the results of Moser and Knörrer on relations between geodesics on quadrics and solutions of the classical Neumann system to describe explicitly the geodesic scattering on hyperboloids. We explain the relation of Knörrer’s reparametrisation with projectively equivalent metrics on quadrics introduced by Tabachnikov and ...
A P Veselov, L H Wu
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Geodesics in the mapping class group [PDF]
Algebraic & Geometric Topology, 2021 16 pages, 3 ...
Rafi, Kasra, Verberne, Yvon
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Geodesic Mapping for Dynamic Surface Alignment [PDF]
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2014 This paper presents a novel approach that achieves dynamic surface alignment by geodesing mapping. The surfaces are 3D manifold meshes representing non-rigid objects in motion (e.g., humans) which can be obtained by multiview stereo reconstruction. The proposed framework consists of a geodesic mapping (i.e., geodesic diffeomorphism) between surfaces ...
Tony Tung, Takashi Matsuyama
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Geodesic and contour optimization using conformal mapping [PDF]
Journal of Global Optimization, 2016 We propose a novel optimization algorithm for continuous functions using geodesics and contours under conformal mapping.The algorithm can find multiple optima by first following a geodesic curve to a local optimum then traveling to the next search area by following a contour curve. To improve the efficiency, Newton-Raphson algorithm is also employed in
Ricky Fok, Aijun An, Xiaogang Wang 0007
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Conformally geodesic mappings satisfying a certain initial condition [PDF]
, 2011 In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds (M,g) and (M,g), i.e. mappings f:M→M satisfying f = f; 1 o f; 2 o f; 3, where f; 1, f3 are conformal mappings and f; 2 is a geodesic mapping.
Mikeš, Josef, Chudá, Hana
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Fixed point theorems for enriched Kannan mappings in CAT(0) spaces
Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 We present enriched Kannan and enriched Bianchini mappings in the framework of unique geodesic spaces. For such mappings, we establish the existence and uniqueness of a fixed point in the setting of CAT(0) spaces and show that an appropriate ...
A. Y. Inuwa +3 more
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Some new fixed point theorems for nonexpansive-type mappings in geodesic spaces
Open Mathematics, 2022 In this article, we present some new fixed point existence results for nonexpansive-type mappings in geodesic spaces. We also give a number of illustrative examples to settle our claims.
Shukla Rahul, Panicker Rekha
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Geodesic Ricci-symmetric pseudo-Riemannian spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2022 We introduced special pseudo-Riemannian spaces, called geodesic A-symmetric spaces, into consideration. It is proven that there are no geodesic symmetric spaces and no geodesic Ricci symmetric spaces, which differ from spaces of constant curvature and ...
V. Kiosak, L. Kusik, V. Isaiev
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