Regularization of the Circular Restricted Three Body Problem on Surfaces of Constant Curvature
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-017-9619-x
Abstract: We consider a restricted three body problem on surfaces of constant curvature. As in the classical Newtonian case the collision singularities occur when the position particle with infinitesimal mass coincides with the position of one… read more here.
Keywords: problem surfaces; restricted three; surfaces constant; body problem ... See more keywords
McGehee Blow-Up of the Kepler Problem on Surfaces of Constant Curvature
Sign Up to like & getrecommendations! Published in 2020 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-020-00349-6
Abstract: In this work we address the local behaviour at collision of the Kepler problem on surfaces of constant curvature. A full description of dynamics in the extended energy surface is given relying in the energy… read more here.
Keywords: problem surfaces; kepler problem; surfaces constant; constant curvature ... See more keywords
Classification of rotational surfaces with constant skew curvature in 3-space forms
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124195
Abstract: Abstract In this paper, we classify the rotational surfaces with constant skew curvature in 3-space forms. We also give a variational characterization of the profile curves of these surfaces as critical points of a curvature… read more here.
Keywords: rotational surfaces; skew curvature; constant skew; surfaces constant ... See more keywords
On Two-Dimensional Polynomially Integrable Billiards on Surfaces of Constant Curvature
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DOI: 10.1134/s1064562418050253
Abstract: The algebraic version of the Birkhoff conjecture is solved completely for billiards with a piecewise C2-smooth boundary on surfaces of constant curvature: Euclidean plane, sphere, and Lobachevsky plane. Namely, we obtain a complete classification of… read more here.
Keywords: dimensional polynomially; two dimensional; surfaces constant; constant curvature ... See more keywords
Evolving convex surfaces to constant width ones
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DOI: 10.1142/s0129167x17500823
Abstract: Given an n-dimensional convex surface X0 in the Euclidean space ℝn+1, this initial surface can be deformed into a convex surface with constant width by a new evolution model which preserves the convexity of the… read more here.
Keywords: surface; convex; constant width; surfaces constant ... See more keywords
Surfaces with Constant Negative Curvature
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DOI: 10.3390/sym15050997
Abstract: In this paper, we have considered surfaces with constant negative Gaussian curvature in the simply isotropic 3-Space by defined Sauer and Strubeckerr. Firstly, we have studied the isotropic II-flat, isotropic minimal and isotropic II-minimal, the… read more here.
Keywords: constant negative; isotropic; negative curvature; curvature surfaces ... See more keywords