dimensions {manifold}

Dimensions in this package

Description

'calcGeomPar' calculates geometric parameter. 'calcIntDim' calculates the intrinsic dimensions. 'calcAmbDim' calculates the ambient dimensions. 'calcTanDim' calculates the number of tuples used to represent a tangent vector.

Usage

calcGeomPar(mfd, dimAmbient, dimIntrinsic, dimTangent)

calcIntDim(mfd, geomPar, dimAmbient, dimTangent)

calcAmbDim(mfd, geomPar, dimIntrinsic, dimTangent)

calcTanDim(mfd, geomPar, dimAmbient, dimIntrinsic)

Arguments

mfd

A manifold object created by createM

dimAmbient

Dimension of the ambient space.

dimIntrinsic

Intrinsic dimension of the manifold.

dimTangent

The length of a tangent vector

geomPar

The geometric parameter (e.g., SO(*))

Value

A scalar value for the geometric parameter

A scalar value for the intrinsic dimension

A scalar value for the ambient dimension

A scalar value for the number of components in the (implementation of the) tangent vector