Results 11 to 20 of about 4,762 (252)
Explicit Geodesic Projection Distance on the Statistical Manifold of Multivariate Elliptical Distributions [PDF]
EntropyGeodesic projection distances on statistical manifolds have been widely applied across various research fields. Nevertheless, the existing closed-form solution is only available for the Gaussian manifold.
Xiangbing Chen +2 more
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On geodesic vector fields in a compact orientableRiemannian space
Commentarii Mathematici Helvetici, 1961 Yano Kentaro
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Геодезичні відображення коспактних квазі-ейнштейнових просторів
Pracì Mìžnarodnogo Geometričnogo Centru, 2021 The paper treats geodesic mappings of quasi-Einstein spaces with gradient defining vector. Previously the authors defined three types of these spaces. In the present paper it is proved that there are no quasi-Einstein spaces of special type.
Володимир Анатолійович Кіосак +2 more
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Generating Generalized Cylinder with Geodesic Base Curve According to Darboux Frame
Journal of New Theory, 2021 This paper aims to design a generalized cylinder with a geodesic base curve according to the Darboux frame in Euclidean 3-space. A generalized cylinder is a special ruled surface that is constructed by a continuous fixed motion of a generator line called
Nabil Althibany
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Mathematics, 2022 This article deals with the classes of approximate Minty- and Stampacchia-type vector variational inequalities on Hadamard manifolds and a class of nonsmooth interval-valued vector optimization problems.
Savin Treanţă +2 more
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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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Tidal forces in Kottler spacetimes
European Physical Journal C: Particles and Fields, 2021 The article considers tidal forces in the vicinity of the Kottler black hole. We find a solution of the geodesic deviation equation for radially falling bodies, which is determined by elliptic integrals.
V. P. Vandeev, A. N. Semenova
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Stability of Geodesic Vectors in Low-Dimensional Lie Algebras
Journal of Lie Theory, 2022 A naturally parameterised curve in a Lie group with a left invariant metric is a geodesic, if its tangent vector left-translated to the identity satisfies the Euler equation Y = adt Y Y on the Lie algebra g of G. Stationary points (equilibria) of the Euler equation are called geodesic vectors: the geodesic starting at the identity in the direction of a
Nguyen, An Ky, Nikolayevsky, Yuri
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Tidal effects in 4D Einstein–Gauss–Bonnet black hole spacetime
European Physical Journal C: Particles and Fields, 2021 We have investigated tidal forces and geodesic deviation motion in the 4D-Einstein–Gauss–Bonnet spacetime. Our results show that tidal force and geodesic deviation motion depend sharply on the sign of Gauss–Bonnet coupling constant.
Jing Li, Songbai Chen, Jiliang Jing
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On canonical quasi-geodesic mappings of recurrent-parabolic spaces
Pracì Mìžnarodnogo Geometričnogo Centru, 2018 Studying of the entered earlier quasi-geodesic mappings of recurrent parabolic spaces continues. The express class of such mappings - canonical quasi-geodesic mappings is allocated. Geometrical objects, invariant under considered mappings are constructed.
Ірина Миколаївна Курбатова +1 more
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