Struct GeodesicEquation 

pub struct GeodesicEquation {
    pub metric: String,
    pub dimension: usize,
}

Geodesic equation in a Riemannian manifold: curves minimizing arc length.

Fields

metric: String

Description of the metric tensor g_{ij}.

dimension: usize

Dimension of the manifold.

Implementations

impl GeodesicEquation

pub fn new(dimension: usize) -> Self

Create a new GeodesicEquation for a manifold of given dimension.

pub fn christoffel_symbols_string(&self) -> String

Christoffel symbols Γ^k_{ij} = (1/2) g^{kl} (∂i g{jl} + ∂j g{il} - ∂l g{ij}).

pub fn is_straight_line_in_flat_space(&self) -> bool

In flat Euclidean space (g_{ij} = δ_{ij}) the geodesics are straight lines.

Trait Implementations

impl Clone for GeodesicEquation

fn clone(&self) -> GeodesicEquation

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for GeodesicEquation

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.