Results 1 to 10 of about 49 (48)
The Forward Kinematics of Rolling Contact of Spacelike Surfaces in Lorentzian 3-Space
Cumhuriyet Science Journal, 2018 In thispaper, we investigate the forward kinematics of spin-rolling motion withoutsliding of one spacelike surface on another spacelike surface along thespacelike contact trajectory curves of the surfaces in Lorentzian 3-space.
Hasan Hüseyin Uğurlu +2 more
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Triangle angle sums related to translation curves in Sol geometry [PDF]
, 2022 After having investigated the geodesic and translation triangles and their angle sums in Nil and S---L2R geometries we consider the analogous problem in Sol space that is one of the eight 3-dimensional Thurston geometries.
SZIRMAI, Jenő
core +1 more source
Examples of noncompact nonpositively curved manifolds
Bulletin of the London Mathematical Society, Volume 53, Issue 4, Page 1061-1071, August 2021., 2021 Abstract We give a simple construction of new, complete, finite volume manifolds M of bounded, nonpositive curvature. These manifolds have ends that look like a mixture of locally symmetric ends of different ranks and their fundamental groups are not duality groups.
Grigori Avramidi +1 more
wiley +1 more source
Linear Weingarten factorable surfaces in isotropic spaces [PDF]
, 2017 In this paper, we deal with a certain factorable surface in the isotropic 3-space satisfying aK +bH = c, where K is the relative curvature, H the isotropic mean curvature and a, b, c ∈ R. We obtain a complete classification for such surfaces.
OGRENMIS, Alper Osman +1 more
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On the curvature of nonregular saddle surfaces in the hyperbolic and spherical three‐space
Abstract and Applied Analysis, Volume 7, Issue 3, Page 113-123, 2002., 2002 This paper proves that any nonregular nonparametric saddle surface in a three‐dimensional space of nonzero constant curvature k, which is bounded by a rectifiable curve, is a space of curvature not greater than k in the sense of Aleksandrov. This generalizes a classical theorem by Shefel′ on saddle surfaces in 𝔼3.
Dimitrios E. Kalikakis
wiley +1 more source
A characterization of regular saddle surfaces in the hyperbolic and spherical three‐space
Abstract and Applied Analysis, Volume 7, Issue 7, Page 349-355, 2002., 2002 We prove that the class of regular saddle surfaces in the hyperbolic or spherical three‐space coincides with the class of regular surfaces with curvature not greater than the curvature of the surrounding space. We also show that a similar result for nonregular surfaces is incorrect.
Dimitrios E. Kalikakis
wiley +1 more source
Curves with constant geodesic curvature in the Bolyai-Lobachevskian plane [PDF]
, 2015 The aim of this note is to present the curves with constant geodesic curvature of the Bolyai-Lobachevskian hyperbolic plane. By using the Lobachevskian metric the equations of the circle, paracycloid and hipercycloid are given.
MESTER, Ágnes, GÁBOS, Zoltán
core
Best Proximity Points of Relatively Jaggi Nonexpansive Mappings in Busemann Convex Spaces
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this paper, we introduce cyclic (noncyclic) relatively Jaggi nonexpansive mappings on Busemann convex spaces and investigate the existence of their best proximity points (pairs). Furthermore, we extend the notation of relatively u‐continuous mappings in geodesic spaces and generalize an existence result of best proximity points from strictly convex ...
M. Gabeleh +3 more
wiley +1 more source
Lines in the three-dimensional Bolyai-Lobachevskian hyperbolic geometry [PDF]
, 2015 The purpose of this paper is to describe the geodesics of the three- dimensional Bolyai-Lobachevskian hyperbolic space. We also determine the equation of the orthogonal surfaces and the scalar curvature of the surfaces of revolution.
MESTER, Ágnes, GÁBOS, Zoltán
core
Veterinary Dermatology, Volume 35, Issue 4, Page 408-417, August 2024.Background – Supplementation of polyunsaturated fatty acids (PUFA) enables dose reduction of prednisolone and ciclosporin in canine atopic dermatitis (cAD). Objective – To determine if oral administration of PUFA can reduce the dose of oclacitinib for cAD. Conclusion – Oral supplementation of PUFA allowed dose reduction of oclacitinib and improved pVAS,
Laura Schäfer, Nina Thom
wiley +1 more source