Results 11 to 20 of about 1,343,954 (317)
On quasi-geodesic mappings of special pseudo-Riemannian spaces
The present paper continues the study of quasi-geodesic mappings f:(Vn, gij, Fih) → (V'n,g'ij, Fih) of pseudo-Riemannian spaces Vn, V'n with a generalized-recurrent structure Fih of parabolic type.
Irina Kurbatova, M. Pistruil
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Regularities of the theory of quasi-geodesic mappings of special parabolic spaces
We 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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Canonical quasi-geodesic mappings of special pseudo-Riemannian spaces
The present paper continues the study of quasi-geodesic mappings f:(Vn, gij, Fih) → (V'n,g'ij, Fih) of pseudo-Riemannian spaces Vn, V'n with a generalized-recurrent structure Fih of parabolic type.
Irina Kurbatova, M. Pistruil
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Geodesic and Contour Optimization Using Conformal Mapping [PDF]
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, Xiaogong Wang
semanticscholar +6 more sources
Geodesic Generative Topographic Mapping
Nonlinear dimensionality reduction (NLDR) methods aim to provide a faithful low-dimensional representation of multivariate data. The manifold learning family of NLDR methods, in particular, do this by defining low-dimensional manifolds embedded in the observed data space.
Raúl Cruz‐Barbosa, Alfredo Vellido
semanticscholar +4 more sources
Conformal and Geodesic Mappings onto Some Special Spaces [PDF]
In this paper, we consider conformal mappings of Riemannian spaces onto Ricci-2-symmetric Riemannian spaces and geodesic mappings of spaces with affine connections onto Ricci-2-symmetric spaces.
Volodymyr Berezovski +2 more
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A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
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Geodesic mappings of compact quasi-Einstein spaces, I
The paper treats a particular type of pseudo-Riemannian spaces, namely quasi-Einstein spaces with gradient dening vector. These spaces are a generalization of well-known Einstein spaces.
Volodymyr Kiosak +2 more
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Geodesic mapping onto Kählerian spaces of the first kind [PDF]
In the present paper a generalized Kählerian space of the first kind is considered as a generalized Riemannian space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy ...
Milan Lj. Zlatanović +2 more
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Geodesic Mappings onto Generalized m-Ricci-Symmetric Spaces [PDF]
In this paper, we study geodesic mappings of spaces with affine connections onto generalized 2-, 3-, and m-Ricci-symmetric spaces. In either case, the main equations for the mappings are obtained as a closed system of linear differential equations of the
Volodymyr Berezovski +3 more
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