Results 21 to 30 of about 27,316 (287)

Solutions to the ellipsoidal Clairaut constant and the inverse geodetic problem by numerical integration

Journal of Geodetic Science, 2012
We derive computational formulas for determining the Clairaut constant, i.e. the cosine of the maximum latitude of the geodesic arc, from two given points on the oblate ellipsoid of revolution. In all cases the Clairaut constant is unique.
Sjöberg L. E.
doaj   +1 more source

Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time [PDF]

Sahand Communications in Mathematical Analysis, 2022
In the present paper, we compute the conservation laws  of the Vaidya-Bonner geodesic space-time metric in aRiemannian space and carry out the moving frame  method for this metric.
Davood Farrokhi, Rohollah Bakhshandeh-Chamazkoti, Mehdi Nadjafikhah   +2 more
doaj   +1 more source

Integrability of Geodesics of Totally Geodesic Metrics [PDF]

, 2019
Analysis of the geodesics in the space of signature $(1,3)$ that splits in two-dimensional distributions resulting from the Weyl tensor eignespaces - hyperbolic and elliptic ones - described in [V. Lychagin, V. Yumaguzhin, \emph{Differential invariants and exact solutions of the Einstein equations}, Anal.Math.Phys.
Kycia, Radosław A., Ułan, Maria
openaire   +2 more sources

Curve shortening by short rulers

ESAIM: Proceedings and Surveys, 2014
The aim is to construct a straight line between the two endpoints of a rectifiable curve using only a ruler, which is too short to connect them directly.
Stadler Peter
doaj   +1 more source

Geodesics and Translation Curves in ${\mathrm{Sol}}_0^4$

Mathematics, 2023
A translation curve in a Thurston space is a curve such that for given unit vector at the origin, the translation of this vector is tangent to the curve in every point of the curve. In most Thurston spaces, translation curves coincide with geodesic lines.
Zlatko Erjavec
doaj   +1 more source

Non-existence of bi-infinite geodesics in the exponential corner growth model

Forum of Mathematics, Sigma, 2020
This paper gives a self-contained proof of the non-existence of nontrivial bi-infinite geodesics in directed planar last-passage percolation with exponential weights.
Márton Balázs, Ofer Busani, Timo Seppäläinen   +2 more
doaj   +1 more source

Construction of Developable Surface with Geodesic or Line of Curvature Coordinates

Journal of New Theory, 2021
In this paper, a developable surface with geodesic or line of curvature coordinates is constructed in the Euclidean 3-space. A developable surface is coordinated by two families of parametric curves, base curves (directrices) and lines (rulings).
Nabil Althibany
doaj   +1 more source

Carroll geodesics

The European Physical Journal C
AbstractUsing effective field theory methods, we derive the Carrollian analog of the geodesic action. We find that it contains both “electric” and “magnetic” contributions that are in general coupled to each other. The equations of motion descending from this action are the Carrollian pendant of geodesics, allowing surprisingly rich dynamics.
Ciambelli, Luca, Grumiller, Daniel
openaire   +4 more sources

On CR-lightlike submanifolds in a golden semi-Riemannian manifold

AIMS Mathematics
CR-lightlike submanifolds of a golden semi-Riemannian manifold are the focus of the research presented in this work, which aims to define and investigate these structures. Under the context of a golden semi-Riemannian manifold, we study the properties of
Mohammad Aamir Qayyoom, Rawan Bossly, Mobin Ahmad   +2 more
doaj   +1 more source

From Normal Surfaces to Normal Curves to Geodesics on Surfaces

Axioms, 2017
This paper gives a study of a two dimensional version of the theory of normal surfaces; namely, a study o normal curves and their relations with respect to geodesic curves.
Eli Appleboim
doaj   +1 more source