geodesicCurve: Obtain the geodesic curve

In manifold: Operations for Riemannian Manifolds

Obtain the geodesic curve

Description

Obtain the geodesic curve

Usage

geodesicCurve(mfd, p, h, t)

## S3 method for class 'HS'
geodesicCurve(mfd, p, h, t)

## S3 method for class 'Sphere'
geodesicCurve(mfd, p, h, t)

Arguments

mfd	A class instance that represents the Riemannian manifold
p	The starting point of the geodesic curve
h	A matrix with each column representing a tangent vector. If there is only one tangent vector is supplied, then it is replicated to match the length of t
t	A vector, the time points where the curve is evaluated.

Details

The curve is γ(t)=\mathrm{Exp}_p(th)

Value

A matrix of points lying on a geodesic. Different columns correspond to different time points

A matrix with each column representing a point on the manifold

Methods (by class)

• geodesicCurve(HS): Method

• geodesicCurve(Sphere): Geodesic curve stating at a point

manifold documentation built on Oct. 4, 2022, 5:06 p.m.