norm: Norm on the tangent space induced by the Riemannian metric

In manifold: Operations for Riemannian Manifolds

Norm on the tangent space induced by the Riemannian metric

Description

Norm on the tangent space induced by the Riemannian metric

Usage

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

norm(mfd, p, U)

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

## S3 method for class 'L2'
norm(mfd, p, U)

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

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

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

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

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

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

Arguments

mfd	A manifold object created by createM
p, U	Matrices with n columns. p stands for the base point(s) and U the tangent vector(s). The norm of each column in U is calculated w.r.t. the corresponding column in p.

Value

A vector with n entries containing the norms of the tangent vectors

Methods (by class)

• norm(Euclidean): Method

• norm(default): Method

• norm(L2): Method

• norm(HS): Method

• norm(Dens): Method

• norm(SO): Method

• norm(LogEu): Method

• norm(AffInv): Method

• norm(Sphere): Method

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