Results 61 to 70 of about 13,504 (166)

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

Rigidity of Holomorphically Projective Mappings of Kähler Spaces with Finite Complete Geodesics

Mathematics
In this work, we consider holomorphically projective mappings of (pseudo-) Kähler spaces. We determine the conditions for finite complete geodesics that must be satisfied for the mappings to be trivial; i.e., these spaces are rigid.
Lenka Vítková, Irena Hinterleitner, Josef Mikeš   +2 more
doaj   +1 more source

Predictable Trajectory Planning of Industrial Robots with Constraints

Applied Sciences, 2018
Trajectory prediction is currently attracting considerable attention. This paper proposes geodesic trajectory planning with end-effector and joint constraints to predict the trajectory properties of the end-effector, such as velocities, accelerations ...
Youdong Chen, Ling Li
doaj   +1 more source

Geodesics of quadratic differentials on Klein surfaces

Electronic Journal of Differential Equations, 2014
The objective of this article is to establish the existence of a local Euclidean metric associated with a quadratic differential on a Klein surface, and to describe the shortest curve in the neighborhood of a holomorphic point.
Monica Rosiu
doaj  

Kobayashi geodesics in $A_g$

Journal of Differential Geometry, 2010
We consider Kobayashi geodesics in the moduli space of abelian varieties A_g that is, algebraic curves that are totally geodesic submanifolds for the Kobayashi metric. We show that Kobayashi geodesics can be characterized as those curves whose logarithmic tangent bundle splits as a subbundle of the logarithmic tangent bundle of A_g. Both Shimura curves
Möller, Martin, Viehweg, Eckart
openaire   +4 more sources

Solutions to the direct and inverse navigation problems on the great ellipse

Journal of Geodetic Science, 2012
The Great Ellipse (GE) is the curve of intersection between the surface and a plane through the center of an ellipsoid. For arcs within a few thousands of kilometres it agrees within a few metres with the geodesic.
Sjöberg L. E.
doaj   +1 more source

Some aspects of normal curve on smooth surface under isometry

Demonstratio Mathematica
The normal curve is a space curve that plays an important role in the field of differential geometry. This research focuses on analyzing the properties of normal curves on smooth immersed surfaces, considering their invariance under isometric ...
Singh Kuljeet, Sharma Sandeep, Bhardwaj Arun Kumar   +2 more
doaj   +1 more source

Vector-Algebra Algorithms to Draw the Curve of Alignment, the Great Ellipse, the Normal Section, and the Loxodrome

Geomatics
This paper recasts four geodetic curves—the great ellipse, the normal section, the loxodrome, and the curve of alignment—into a parametric form of vector-algebra formula.
Thomas H. Meyer
doaj   +1 more source

Geodesic Domes

, 1985
This paper presents a short review of geodesic classification, other useful geodesic criteria for designers and a solution to a spherical subdivision problem, plus an extended bibliography on geodesias.
openaire   +2 more sources

Some Properties of Geodesic Strongly E-b-vex Functions

International Journal of Analysis and Applications, 2019
Geodesic E-b-vex sets and geodesic E-b-vex functions on a Riemannian manifold are extended to the so called geodesic strongly E-b-vex sets and geodesic strongly E-b-vex functions. Some basic properties of geodesic strongly E-b-vex sets are also studied.
Wedad Saleh
doaj