metric: Returns the Riemannian metric

In manifold: Operations for Riemannian Manifolds

Returns the Riemannian metric

Description

Returns the Riemannian metric

Usage

## S3 method for class 'Euclidean'
metric(mfd, p, U, V)

metric(mfd, p, U, V)

## Default S3 method:
metric(mfd, p = NULL, U, V)

## S3 method for class 'HS'
metric(mfd, p, U, V)

## S3 method for class 'Dens'
metric(mfd, p, U, V)

## S3 method for class 'SO'
metric(mfd, p, U, V)

## S3 method for class 'LogEu'
metric(mfd, p, U, V)

## S3 method for class 'AffInv'
metric(mfd, p, U, V)

## S3 method for class 'Sphere'
metric(mfd, p, U, V)

Arguments

mfd	A manifold object created by createM
p	A vector containing the (single) base point on the manifold.
U, V	Matrices with n columns each containing a tangent vector. The metric of each pair of n columns is calculated.

Value

A vector with n entries containing the metric values

Methods (by class)

• metric(Euclidean): Method

• metric(default): Method

• metric(HS): Method

• metric(Dens): Method

• metric(SO): Method

• metric(LogEu): Method

• metric(AffInv): Method

• metric(Sphere): Method

manifold documentation built on Dec. 1, 2025, 5:09 p.m.